76584816 has 120 divisors (see below), whose sum is σ = 267256704. Its totient is φ = 19889280.

The previous prime is 76584797. The next prime is 76584863. The reversal of 76584816 is 61848567.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7635 + ... + 14541.

Almost surely, 2^76584816 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 76584816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133628352).

76584816 is an abundant number, since it is smaller than the sum of its proper divisors (190671888).

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

76584816 is a wasteful number, since it uses less digits than its factorization.

76584816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6930 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 76584816 is about 8751.2751070915. The cubic root of 76584816 is about 424.6660647908. Note that the first 3 decimals are identical.

The spelling of 76584816 in words is "seventy-six million, five hundred eighty-four thousand, eight hundred sixteen".