76683904 has 64 divisors (see below), whose sum is σ = 168544800. Its totient is φ = 34462720.

The previous prime is 76683883. The next prime is 76683907. The reversal of 76683904 is 40938667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×76683904² = 11760842265362432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76683907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150402 + ... + 150910.

Almost surely, 2^76683904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84272400).

76683904 is an abundant number, since it is smaller than the sum of its proper divisors (91860896).

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

76683904 is a wasteful number, since it uses less digits than its factorization.

76683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 76683904 is about 8756.9346234855. The cubic root of 76683904 is about 424.8491349187.

The spelling of 76683904 in words is "seventy-six million, six hundred eighty-three thousand, nine hundred four".