76869600 has 72 divisors (see below), whose sum is σ = 250218360. Its totient is φ = 20497920.

The previous prime is 76869589. The next prime is 76869619. The reversal of 76869600 is 696867.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13615 + ... + 18414.

It is an arithmetic number, because the mean of its divisors is an integer number (3475255).

Almost surely, 2^76869600 is an apocalyptic number.

It is an amenable number.

76869600 is an abundant number, since it is smaller than the sum of its proper divisors (173348760).

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

76869600 is a wasteful number, since it uses less digits than its factorization.

76869600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32052 (or 32039 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 76869600 is about 8767.5310093549. The cubic root of 76869600 is about 425.1917934808.

The spelling of 76869600 in words is "seventy-six million, eight hundred sixty-nine thousand, six hundred".