76819328 has 64 divisors (see below), whose sum is σ = 166011120. Its totient is φ = 35266560.

The previous prime is 76819307. The next prime is 76819343. The reversal of 76819328 is 82391867.

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

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, 93158 + ... + 93978.

Almost surely, 2^76819328 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 76819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83005560).

76819328 is an abundant number, since it is smaller than the sum of its proper divisors (89191792).

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

76819328 is a wasteful number, since it uses less digits than its factorization.

76819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 76819328 is about 8764.6635987926. The cubic root of 76819328 is about 425.0990827808.

The spelling of 76819328 in words is "seventy-six million, eight hundred nineteen thousand, three hundred twenty-eight".