Seven hundred is the natural number following six hundred ninety-nine and preceding seven hundred one. Natural number can mean either a positive integer (1, 2, 3, 4, ...) or a non-negative integer (0, 1, 2, 3, 4, ...). Natural numbers have two main purposes: they can be used for counting (there are 3 apples on the table), or they can be used for ordering (this is...

It is the sum of four consecutive primes (167 + 173 + 179 + 181). It is a Harshad number. In linguistics, cardinal numbers is the name given to number words that are used for quantity (one, two, three), as opposed to ordinal numbers, words that are used for order (first, second, third). ... Commonly, ordinal numbers, or ordinals for short, are numbers used to denote the position in an ordered sequence: first, second, third, fourth, etc. ... This article is about the mathematical concept. ... The system of Roman numerals is a numeral system originating in ancient Rome, and was adapted from Etruscan numerals. ... The binary or base-two numeral system is a system for representing numbers in which a radix of two is used; that is, each digit in a binary numeral may have either of two different values. ... In mathematics and computer science, hexadecimal 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. ... Prime can refer to: Prime element Prime ideal Prime lens Prime number Prime rate Prime Television, a television network in Australia Prime, a cable channel in Canada Prime, the ′ mark Prime, a ribose structure Prime computer Prime, a liturgical office (service or ceremony) Prime, a comics character the point at... 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 Believer's Network, see The 700 Club.

701 prime number, sum of three consecutive primes (229 + 233 + 239) For other uses, see number 700. ... 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 700 Club is a right-wing Christian news and talk show hosted by religious leader Pat Robertson, airing on cables ABC Family and in syndication throughout the United States and Canada. ...

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 a number that can be arranged in the shape of an equilateral triangle. ... 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

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 used by deaf persons and those with other hearing difficulties, to allow them to place telephone calls. ...

712 = 2³ × 89, sum of the first twenty-one primes

713 = 23 × 31, sum of three consecutive primes (233 + 239 + 241), in the Harry Potter movies, Dumbledore's vault at Gringotts Bank is 713. Cover of the original novel in the series, Harry Potter and the Philosophers Stone. ...

714 = 2 × 3 × 7 × 17, nontotient

715 = 5 × 11 × 13, sphenic number, pentatope number, 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), 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 = 6 factorial; highly composite number; Harshad number in every base from binary to decimal; highly totient number; 241-gonal number. 6 (six) is the natural number following 5 and preceding 7. ... In mathematics, the factorial of a natural number n is the product of the positive integers less than or equal to n. ... 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. ... In mathematics, a polygonal number is a number that can be arranged as a regular polygon. ...

721 = 7 × 103, sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101), centered hexagonal number A centered hexagonal number, or hex number is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in successive hexagonal layers. ...

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 of the 12 unique solutions 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. ...

an area code for Western Pennsylvania Long recognized as a powerhouse of American industry, Western Pennsylvania is a large geophyisical and socio-economic entity within the state of Pennsylvania, roughly the western third of the state. ...

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 A palindromic prime is a prime number that is also a palindromic number. ...

728 = 2³ 7 × 13, nontotient, Smith number

729 = 3⁶ = 27², centered octagonal number, Smith number 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. ...

730 = 2 × 5 × 73, sphenic number, nontotient, Harshad number

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, permutable prime, sum of five consecutive primes (137 + 139 + 149 + 151 + 157) A permutable prime 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

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 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 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, decagonal number A decagonal number is a figurate number that represents a decagon. ...

743 prime number, Sophie Germain prime

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 Company (NYSE: BA) is a leading American aircraft and aerospace manufacturer, headquartered in Chicago, Illinois, with its largest production facilities in Everett, Washington, near Seattle, Washington. ...

748 = 2² × 11 × 17, nontotient

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

750 = 2 × 3 × 5³, nonagonal number A nonagonal number or enneagonal number is a figurate number that represents a nonagon. ...

751 prime number

752 = 2⁴ 47, nontotient

753 = 3 × 251

754 = 2 × 13 × 29, sphenic number, nontotient

755 = 5 × 151

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, 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. ...

762 = 2 × 3 × 127, sphenic number, sum of four consecutive primes (181 + 191 + 193 + 197), nontotient, Smith number

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

764 = 2² × 191

765 = 3² × 5 × 17

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

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

771 = 3 × 257, sum of three consecutive primes (251 + 257 + 263)

772 = 2² × 193

773 prime number, tetranacci number In mathematics, the Fibonacci numbers form a sequence defined recursively by: In words: you start with 0 and 1, and then produce the next Fibonacci number by adding the two previous Fibonacci numbers. ...

774 = 2 × 3² × 43, nontotient, Harshad number

775 = 5² × 31

776 = 2³ × 97

777 = 3 × 7 × 37, sphenic number, Harshad number, 3333 in senary (base 6) counting A senary numeral system is a base-six numeral system. ...

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

787 prime number, palindromic prime, sum of five consecutive primes (149 + 151 + 157 + 163 + 167)

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, palindromic prime

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

799 = 17 × 47