76038912 has 180 divisors, whose sum is σ = 239904280. Its totient is φ = 23887872.

The previous prime is 76038901. The next prime is 76038967. The reversal of 76038912 is 21983067.

It is a super-2 number, since 2×76038912² = 11563832276287488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 393888 + ... + 394080.

Almost surely, 2^76038912 is an apocalyptic number.

76038912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952140).

76038912 is an abundant number, since it is smaller than the sum of its proper divisors (163865368).

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

76038912 is a wasteful number, since it uses less digits than its factorization.

76038912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 76038912 is about 8720.0293577487. The cubic root of 76038912 is about 423.6546374804.

The spelling of 76038912 in words is "seventy-six million, thirty-eight thousand, nine hundred twelve".