76584928 has 48 divisors (see below), whose sum is σ = 173184480. Its totient is φ = 32656896.

The previous prime is 76584919. The next prime is 76584997. The reversal of 76584928 is 82948567.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50550 + ... + 52042.

It is an arithmetic number, because the mean of its divisors is an integer number (3608010).

Almost surely, 2^76584928 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 76584928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86592240).

76584928 is an abundant number, since it is smaller than the sum of its proper divisors (96599552).

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

76584928 is a wasteful number, since it uses less digits than its factorization.

76584928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1731 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The square root of 76584928 is about 8751.2815061567. The cubic root of 76584928 is about 424.6662718056. Note that the first 3 decimals are identical.

The spelling of 76584928 in words is "seventy-six million, five hundred eighty-four thousand, nine hundred twenty-eight".