76628832 has 48 divisors (see below), whose sum is σ = 229888512. Its totient is φ = 21893760.

The previous prime is 76628819. The next prime is 76628861. The reversal of 76628832 is 23882667.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56344 + ... + 57687.

It is an arithmetic number, because the mean of its divisors is an integer number (4789344).

Almost surely, 2^76628832 is an apocalyptic number.

It is an amenable number.

76628832 is an abundant number, since it is smaller than the sum of its proper divisors (153259680).

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

76628832 is a wasteful number, since it uses less digits than its factorization.

76628832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114051 (or 114043 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 76628832 is about 8753.7895793765. The cubic root of 76628832 is about 424.7474060741.

The spelling of 76628832 in words is "seventy-six million, six hundred twenty-eight thousand, eight hundred thirty-two".