76290816 has 144 divisors (see below), whose sum is σ = 242532864. Its totient is φ = 20815872.

The previous prime is 76290803. The next prime is 76290817. The reversal of 76290816 is 61809267.

It is not an unprimeable number, because it can be changed into a prime (76290817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123340 + ... + 123956.

It is an arithmetic number, because the mean of its divisors is an integer number (1684256).

Almost surely, 2^76290816 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 76290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121266432).

76290816 is an abundant number, since it is smaller than the sum of its proper divisors (166242048).

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

76290816 is a wasteful number, since it uses less digits than its factorization.

76290816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 76290816 is about 8734.4614029716. The cubic root of 76290816 is about 424.1219537648.

The spelling of 76290816 in words is "seventy-six million, two hundred ninety thousand, eight hundred sixteen".