76584012 has 72 divisors (see below), whose sum is σ = 191847600. Its totient is φ = 23748480.

The previous prime is 76584007. The next prime is 76584019. The reversal of 76584012 is 21048567.

It is a super-2 number, since 2×76584012² = 11730221788032288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76584019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334314 + ... + 334542.

It is an arithmetic number, because the mean of its divisors is an integer number (2664550).

Almost surely, 2^76584012 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 76584012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95923800).

76584012 is an abundant number, since it is smaller than the sum of its proper divisors (115263588).

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

76584012 is a wasteful number, since it uses less digits than its factorization.

76584012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 76584012 is about 8751.2291708079. The cubic root of 76584012 is about 424.6645787142.

The spelling of 76584012 in words is "seventy-six million, five hundred eighty-four thousand, twelve".