76900 has 18 divisors (see below), whose sum is σ = 167090. Its totient is φ = 30720.

The previous prime is 76883. The next prime is 76907. The reversal of 76900 is 967.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 73984 = 54^2 + 272^2 .

It is a super-2 number, since 2×76900² = 11827220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285 + ... + 484.

2⁷⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

76900 is an abundant number, since it is smaller than the sum of its proper divisors (90190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76900 is a wasteful number, since it uses less digits than its factorization.

76900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 76900 is about 277.3084924772. The cubic root of 76900 is about 42.5247836992.

The spelling of 76900 in words is "seventy-six thousand, nine hundred".