800 (number)
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800 is a natural number that lies between 799 and 801. It is an even composite number, meaning it has factors other than 1 and itself.
In the decimal system, 800 consists of three digits: 8 and two zeros. It equals 8 × 100, and is thus among the round hundred numbers commonly used for counting and measurement.
Mathematical properties
The prime factorization of 800 is 2^5 × 5^2, or 32 multiplied by 25. This gives it 18 divisors, including 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, and 800.
The sum of its proper divisors (those less than itself) exceeds the number itself, making 800 an abundant number. Additionally, since the sum of its digits is 8, which divides 800 evenly, it is a Harshad number.
Other number systems
In binary, 800 is written as 1100100000. In hexadecimal, it is 320. In Roman numerals, 800 is represented as DCCC, composed of D (500) and three instances of C (100 each).
General usage
The number 800 serves as a year designation in history, both as AD 800 and 800 BC. It also appears in various measurements such as distance, price, and telephone numbers in some countries, where the prefix '800' is used to denote toll-free calls.