700 is the natural number after 699 and before 701. Expressed in words as "seven hundred," it is a three‑digit round number widely used in counting, measurement and labeling. In arithmetic contexts 700 often serves as a convenient round benchmark because it is a multiple of 100 and of 10, and it appears in many practical scales and tabulations.

Mathematical properties

The integer 700 is composite. Its prime factorization is 2² × 5² × 7, so it has (2+1)(2+1)(1+1) = 18 positive divisors. The complete set of divisors is 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350 and 700. The sum of all positive divisors σ(700) equals 1,736, which makes the sum of proper divisors 1,036 and classifies 700 as an abundant number (the proper divisors sum to more than the number itself).

  • Prime factorization: 2² × 5² × 7
  • Number of positive divisors: 18
  • Sum of divisors σ(700) = 1,736; proper divisors sum = 1,036
  • Euler's totient φ(700) = 240
  • Harshad number in base 10 (700 ÷ (7+0+0) = 100)

Numeral systems and notation

Common representations of 700 include Roman numeral DCC, binary 1010111100, octal 1274 and hexadecimal 2BC. In standard decimal notation it appears simply as 700, and in words as "seven hundred." These representations are useful in computing and in comparing values across different bases.

History, context and uses

The symbol and concept of 700 are used in calendrical and historical notation (for example, the years 700 CE/AD and 700 BCE/BC mark points on chronological timelines). Because it is a multiple of 100, 700 often functions as a round figure in statistics, pricing, scoring, product model numbers and informal estimates. It also appears naturally where quantities are grouped by the hundreds.

Notable distinctions

700 is not prime, not a perfect square, and not a triangular number. It contrasts with numbers that are prime or that have unique divisor structures. Its abundance, moderate number of divisors and clear factorization make it a straightforward example in introductory number theory and in demonstrations about multiplicative functions.