76314368 has 72 divisors (see below), whose sum is σ = 171352608. Its totient is φ = 33656832.

The previous prime is 76314349. The next prime is 76314383. The reversal of 76314368 is 86341367.

It is a super-3 number, since 3×76314368³ (a number of 25 digits) contains 333 as substring.

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, 76046 + ... + 77042.

Almost surely, 2^76314368 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 76314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85676304).

76314368 is an abundant number, since it is smaller than the sum of its proper divisors (95038240).

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

76314368 is a wasteful number, since it uses less digits than its factorization.

76314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1035 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 76314368 is about 8735.8095217329. The cubic root of 76314368 is about 424.1655933231.

The spelling of 76314368 in words is "seventy-six million, three hundred fourteen thousand, three hundred sixty-eight".