This article is about the numbers 700 through 799; for each individual number, see its section below.

700 (seven hundred) is the natural number following 699 and preceding 701. In mathematics, a natural number can mean either an element of the set {1, 2, 3, ...} (i. ...

List of numbers — Integers This is a list of articles about numbers (not about numerals). ... The integers are commonly denoted by the above symbol. ... ← 0 100 200 300 400 500 600 700 800 900 → In mathematics, −1 is the integer greater than negative two (−2) and less than 0. ... 0 (zero) is both a number and a numerical digit used to represent that number in numerals. ... 100 (one hundred) (the Roman numeral is C for centum) is the natural number following 99 and preceding 101. ... 200 is the natural number following 199 and preceding 201. ... This article is about the number 300. ... Four hundred is the natural number following three hundred ninety-nine and preceding four hundred one. ... Five hundred is the natural number following four hundred ninety-nine and preceding five hundred one. ... Six hundred is the natural number following five and hundred ninety-nine and preceding six hundred and one. ... 800 (eight hundred) is the natural number following 799 and preceding 801. ... Nine hundred is the natural number following eight hundred ninety-nine and preceding nine hundred one. ... Look up one thousand in Wiktionary, the free dictionary. ...
Cardinal	700 seven hundred
Ordinal	700th seven hundredth
Factorization
Roman numeral	DCC
Roman numeral (Unicode)	DCC, dcc
Binary	1010111100
Octal	1274
Duodecimal	4A4
Hexadecimal	2BC
Vigesimal	1F0

It is the sum of four consecutive primes (167 + 173 + 179 + 181). It is a Harshad number. Aleph-0, the smallest infinite cardinal In mathematics, cardinal numbers, or cardinals for short, are a generalized kind of number used to denote the size of a set, known as its cardinality. ... In set theory, ordinal, ordinal number, and transfinite ordinal number refer to a type of number introduced by Georg Cantor in 1897, to accommodate infinite sequences and to classify sets with certain kinds of order structures on them. ... ... The system of Roman numerals is a numeral system originating in ancient Rome, and was adapted from Etruscan numerals. ... The binary numeral system, or base-2 number system, is a numeral system that represents numeric values using two symbols, usually 0 and 1. ... The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. ... The duodecimal (also known as base-12 or dozenal) system is a numeral system using twelve as its base. ... In mathematics and computer science, hexadecimal, base-16, or simply hex, is a numeral system with a radix, or base, of 16, usually written using the symbols 0–9 and A–F, or a–f. ... The vigesimal or base-20 numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten). ... In mathematics, a prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself. ... A Harshad number, or Niven number, is an integer that is divisible by the sum of its digits in a given number base. ...

700 is also:

• The year AD, see 700.
• The decade beginning in the year 700 BC, see 700s BC.
• A television show aired on the Christian Broadcasting Network, see The 700 Club.

701 prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part // Events Saint Adamnan convinces 51 kings to adopt Cáin Adomnáin defining the relationship between women and priests. ... Centuries: 9th century BC - 8th century BC - 7th century BC Decades: 750s BC 740s BC 730s BC 720s BC 710s BC - 700s BC - 690s BC 680s BC 670s BC 660s BC 650s BC Events and Trends 708 BC - Spartan immigrants found Taras (Tarentum, the modern Taranto) colony in southern Italy. ... The Christian Broadcasting Network, or CBN, is, as its name implies, a Christian television broadcasting network in the United States. ... The 700 Club is the flagship news talk show of the Christian Broadcasting Network, airing on cables ABC Family and in syndication throughout the United States and Canada. ... A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. ... An Eisenstein prime is an Eisenstein integer aω + b that has only two Eisenstein divisors, the complex cube root of unity and aω + b itself. ...

702 = 2 × 3³ × 13, pronic number, nontotient, Harshad number A pronic number, or oblong number or heteromecic number, is a number which is the product of two consecutive nonnegative integers, that is, n(n + 1). ... A nontotient is a positive integer n which is not in the range of Eulers totient function φ, that is, for which φ(x) = n has no solution. ...

703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number A triangular number is the sum of the n natural numbers from 1 to n. ... A hexagonal number is a figurate number that represents a hexagon. ... In mathematics, a Kaprekar number is a number that, in a given base, when squared, can be split into two numbers with the same number of digits as the original number which add up to the original number again. ...

704 = 2⁶ × 11, Harshad number. A Harshad number, or Niven number, is an integer that is divisible by the sum of its digits in a given number base. ...

705 = 3 × 5 × 47, sphenic number A sphenic number is a positive integer that is the product of three distinct prime factors. ...

706 = 2 × 353, nontotient, Smith number A Smith number is a number which in a given base, the sum of its digits is equal to the sum of the digits in its factorization. ...

707 = 7 × 101, sum of five consecutive primes (131 + 137 + 139 + 149 + 151)

708 = 2² × 3 × 59

709 prime number

710 = 2 × 5 × 71, sphenic number, nontotient, Harshad number

711 = 3² × 79. Also the phone number of Telecommunications Relay Service, commonly used by the deaf and hard-of-hearing. Telecommunications Relay Service (TRS, Relay Service, IP-Relay) is an operator service that allows Deaf, Hard-of-Hearing and Speech-Disabled persons to place calls to standard telephone users via TDD (TTY), personal computer or other assistive telephone device. ...

712 = 2³ × 89, sum of the first twenty-one primes, totient sum for first 48 integers, the number of the ambulance on the TV show Saved Saved is a medical drama television series, which aired on TNT. Created by David Manson, Saved tells the story of Wyatt Cole, a Portland, Oregon paramedic with a rough past and a history of compulsive gambling. ...

714 = 2 × 3 × 7 × 17, nontotient, member of Ruth-Aaron pair (either definition) A Ruth-Aaron pair consists of two consecutive integers (e. ...

715 = 5 × 11 × 13, sphenic number, pentatope number, member of Ruth-Aaron pair (either definition), Harshad number A pentatope number is a number in the fifth cell of any row of Pascals triangle starting with the 5-term row 1 4 6 4 1 either from left to right or from right to left. ...

716 = 2² × 179

717 = 3 × 239

718 = 2 × 359

719 prime number, factorial prime, Sophie Germain prime, safe prime, sum of seven consecutive primes (89 + 97 + 101 + 103 + 107 + 109 + 113), Chen prime, Eisenstein prime with no imaginary part A factorial prime is a number that is one less or one more than a factorial and is also a prime number. ... A prime number p is called a Sophie Germain prime if 2p + 1 is also prime. ... A safe prime is a prime number of the form 2p + 1, where p is also a prime. ...

720（seven hundred [and] twenty）= 2⁴ × 3² × 5.

• 6 factorial, highly composite number, Harshad number in every base from binary to decimal, highly totient number.
• two round angles (= 2 × 360).
• five gross (= 500 duodecimal, 5 × 144).
• 241-gonal number.

721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number Look up six in Wiktionary, the free dictionary. ... For factorial rings in mathematics, see unique factorisation domain. ... A highly composite number is a positive integer which has more divisors than any positive integer below it. ... A Harshad number, or Niven number, is an integer that is divisible by the sum of its digits in a given number base. ... A highly totient number k is an integer that has more solutions to the equation φ(x) = k, where φ is Eulers totient function, than any integer below it. ... 360（Three hundred sixty） is the natural number following 359 and preceding 361. ... Look up gross, groß in Wiktionary, the free dictionary. ... 144 is the whole number following 143 and preceding 145. ... In mathematics, a polygonal number is a number that can be arranged as a regular polygon. ... It has been suggested that this article or section be merged into Centered polygonal number. ...

722 = 2 × 19², nontotient

723 = 3 × 241

724 = 2² × 181, sum of four consecutive primes (173 + 179 + 181 + 191), sum of six consecutive primes (107 + 109 + 113 + 127 + 131 + 137), nontotient

the number of n-Queens Problem solutions for n = 10, One possible solution The eight queens puzzle is the problem of putting eight chess queens on an 8×8 chessboard such that none of them is able to capture any other using the standard chess queens moves. ...

725 = 5² × 29

726 = 2 × 3 × 11², pentagonal pyramidal number A pentagonal pyramidal number is a number equal to the sum of the first few pentagonal numbers. ...

727 prime number, palindromic prime, Lucky prime A palindromic prime is a prime number that is also a palindromic number. ... Headline text A lucky prime is a number that is a prime number and a lucky number. ...

728 = 2³ 7 × 13, nontotient, Smith number

729（seven hundred [and] twenty-nine） = 3⁶ = 27².

• the square of 27, and the cube of 9, and as a consequence of these properties, a perfect totient number.
• centered octagonal number, Smith number

730 = 2 × 5 × 73, sphenic number, nontotient, Harshad number In mathematics, a square number, sometimes also called a perfect square, is an integer that can be written as the square of some other integer; in other words, it is the product of some integer with itself. ... 27 (twenty-seven) is the natural number following 26 and preceding 28. ... In arithmetic and algebra, the cube of a number n is its third power — the result of multiplying it by itself two times: n3 = n × n × n. ... Look up nine in Wiktionary, the free dictionary. ... In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients. ... A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers. ...

731 = 17 × 43, sum of three consecutive primes (239 + 241 + 251)

732 = 2² × 3 × 61, sum of eight consecutive primes (73 + 79 + 83 + 89 + 97 + 101 + 103 + 107), sum of ten consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97), Harshad number

733 prime number, balanced prime, permutable prime, sum of five consecutive primes (137 + 139 + 149 + 151 + 157) A balanced prime is a prime number that is equal to the arithmetic mean of the nearest prime above and below. ... A permutable prime (sometimes called a primutation) is a prime number, which, in a given base, can have its digits switched to any possible permutation and still spell a prime number. ...

734 = 2 × 367, nontotient

735 = 3 × 5 × 7², Harshad number, Zuckerman number A Zuckerman number is an integer that is divisible by the product of its digits in a given number base. ...

736 = 2⁵ × 23, centered heptagonal number, nice Friedman number since 736 = 7 + 3^6, Harshad number A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers. ... A Friedman number is an integer which, in a given base, is the result of an expression using all its own digits in combination with any of the four basic arithmetic operators (+, -, ×, ÷) and sometimes exponentiation. ...

737 = 11 × 67

738 = 2 × 3² × 41, Harshad number

739 prime number, strictly non-palindromic number, Lucky prime A strictly non-palindromic number is an integer n that is not palindromic in any number base up to n − 2. ...

740 = 2² × 5 × 37, nontotient

741 = 3 × 13 × 19, sphenic number, triangular number

742 = 2 × 7 × 53, sphenic number, decagonal number A decagonal number is a figurate number that represents a decagon. ...

743 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part

744 = 2³ × 3 × 31, sum of four consecutive primes (179 + 181 + 191 + 193)

745 = 5 × 149

746 = 2 × 373, nontotient

747 = 3² × 83, model number of the Boeing 747, perhaps the most famous Boeing aircraft The Boeing 747, commonly nicknamed the Jumbo Jet, is a long-haul, widebody commercial airliner manufactured by Boeing. ...

748 = 2² × 11 × 17, nontotient

749 = 7 × 107, sum of three consecutive primes (241 + 251 + 257)

750（seven hundred [and] fifty）= 2 × 3 × 5³, enneagonal number. A nonagonal number or enneagonal number is a figurate number that represents a nonagon. ...

751 prime number, Chen prime

752 = 2⁴ 47, nontotient

753 = 3 × 251

754 = 2 × 13 × 29, sphenic number, nontotient, totient sum for first 49 integers

755 = 5 × 151. In 1973, Major League Baseball player Hank Aaron ended his career with a Major League record 755 home runs Henry Louis Hank Aaron (born February 5, 1934 in Mobile, Alabama), nicknamed Hammer, Hammerin Hank”, or Bad Henry”, is a retired American baseball player whose Major League Baseball (MLB) career spanned the 1950s through the 1970s. ...

756 = 2² × 3³ × 7, sum of six consecutive primes (109 + 113 + 127 + 131 + 137 + 139), pronic number, Harshad number

757 prime number, palindromic prime, sum of seven consecutive primes (97 + 101 + 103 + 107 + 109 + 113 + 127)

758 = 2 × 379, nontotient

759 = 3 × 11 × 23, sphenic number, sum of five consecutive primes (139 + 149 + 151 + 157 + 163)

760 = 2³ × 5 × 19, centered triangular number A centered triangular number is a centered figurate number that represents a triangle with a dot in the center and all other dots surrounding the center in successive triangular layers. ...

761 prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, centered square number A centered square number is a centered figurate number that represents a square with a dot in the center and all other dots surrounding the center up to a certain city block distance, i. ...

762 = 2 × 3 × 127, sphenic number, sum of four consecutive primes (181 + 191 + 193 + 197), nontotient, Smith number, see also Feynman point The Feynman point comprises the 762nd through 767th decimal places of π, consisting of the digit 9 repeated six times. ...

763 = 7 × 109, sum of nine consecutive primes (67 + 71 + 73 + 79 + 83 + 89 + 97 + 101 + 103)

764 = 2² × 191

765 = a Japanese word-play for Namco; 3² × 5 × 17 Namco Ltd ) is a amusement company based in Japan, best known overseas for video games development. ...

766 = 2 × 383, centered pentagonal number, nontotient A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. ...

767 = 13 × 59, Thabit number A Thabit number is an integer of the form . ...

768 = 2⁸ × 3, sum of eight consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109)

769 prime number, Chen prime, lucky prime, Proth prime In number theory, a Proth number is a number of the form where k is odd, n is a positive integer, and 2n>k. ...

770 = 2 × 5 × 7 × 11, nontotient, Harshad number

• Famous room party in New Orleans hotel room 770, giving the name to a well known science fiction fanzine called File 770

771 = 3 × 257, sum of three consecutive primes (251 + 257 + 263) A fanzine (see also: zine) is a nonprofessional publication produced by fans of a particular subject for the pleasure of others who share their interest. ... File 770 is named for the party in Room 770 at the 1951 Worldcon science fiction convention that upstaged the convention. ...

772 = 2² × 193

773 prime number, Eisenstein prime with no imaginary part, tetranacci number A tiling with squares whose sides are successive Fibonacci numbers in length A Fibonacci spiral, created by drawing arcs connecting the opposite corners of squares in the Fibonacci tiling shown above - see golden spiral. ...

774 = 2 × 3² × 43, nontotient, totient sum for first 50 integers, Harshad number

775 = 5² × 31, member of the Mian-Chowla sequence In mathematics, the Mian-Chowla sequence is a integer sequence with and recursively, for being the smallest integer such that each pairwise sum is distinct from the others, where and likewise for . ...

776 = 2³ × 97

777 = 3 × 7 × 37, sphenic number, Harshad number, 3333 in senary (base 6) counting. Sometimes given the title of "Jesus' number," as the numbers 3 and 7 were both "perfect numbers" under Hebrew tradition. In the Pixies song "Monkey Gone To Heaven" it is said that "If man is 555 and the devil is 666, so God must be 777." 777 is also found in the title of the book 777 and Other Qabalistic Writings of Aleister Crowley. A senary numeral system is a base-six numeral system. ... The Pixies[1] are an American alternative rock band formed in Boston, Massachusetts in 1985. ... 555 is the natural number following 554 and preceding 556. ... 666 is the natural number following 665 and preceding 667. ...

778 = 2 × 389, nontotient, Smith number

779 = 19 × 41, highly cototient number In number theory, a branch of mathematics, a highly cototient number k is an integer that has more solutions to the equation x - φ(x) = k, where φ is Eulers totient function, than any integer below it, with the exception of 1. ...

780 = 2² × 3 × 5 × 13, sum of four consecutive primes (191 + 193 + 197 + 199), sum of ten consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), triangular number, hexagonal number, Harshad number

781 = 11 × 71, Mertens function(781) = 0 In number theory, the Mertens function is where μ(k) is the Möbius function. ...

782 = 2 × 17 × 23, sphenic number, nontotient, Harshad number, also, 782 gear used by U.S. Marines

783 = 3³ × 29

784 = 2⁴ × 7² = 28², sum of the cubes of the first seven integers

785 = 5 × 157, Mertens function(785) = 0

786 = 2 × 3 × 131, sphenic number. See also its use in Muslim numerological symbolism. Basmala or Bismillah Basmala calligraphy Basmala (Arabic بسملة) is an Arabic language noun which is used as the collective name of the whole of the recurring Islamic phrase  . This phrase constitutes the first verse of the first sura (or chapter) of the Quran, and is used in a number of...

787 prime number, palindromic prime, sum of five consecutive primes (149 + 151 + 157 + 163 + 167), Chen prime, Lucky prime Headline text A lucky prime is a number that is a prime number and a lucky number. ...

788 = 2² × 197, nontotient

789 = 3 × 263, sum of three consecutive primes (257 + 263 + 269)

790 = 2 × 5 × 79, sphenic number, nontotient

791 = 7 × 113, sum of the first twenty-two primes, sum of seven consecutive primes (101 + 103 + 107 + 109 + 113 + 127 + 131)

792 = 2³ × 3² × 11, Harshad number

793 = 13 × 61, Mertens function(793) = 0, star number A star number, or centered 12-gonal number, is a centered figurate number that represents a centered hexagram, such as the one that Chinese checkers are played on. ...

794 = 2 × 397, nontotient

795 = 3 × 5 × 53, Mertens function(795) = 0

796 = 2² × 199, sum of six consecutive primes (113 + 127 + 131 + 137 + 139 + 149), Mertens function(796) = 0

797 prime number, Chen prime, Eisenstein prime with no imaginary part, palindromic prime

798 = 2 × 3 × 7 × 19, Mertens function(798) = 0, nontotient

799 = 17 × 47