76034304 has 108 divisors (see below), whose sum is σ = 223231372. Its totient is φ = 24883200.

The previous prime is 76034281. The next prime is 76034339. The reversal of 76034304 is 40343067.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 62726400 = 3648^2 + 7920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140274 + ... + 140814.

Almost surely, 2^76034304 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 76034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111615686).

76034304 is an abundant number, since it is smaller than the sum of its proper divisors (147197068).

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

76034304 is a wasteful number, since it uses less digits than its factorization.

76034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 76034304 is about 8719.7651344517. The cubic root of 76034304 is about 423.6460794060.

The spelling of 76034304 in words is "seventy-six million, thirty-four thousand, three hundred four".