76516 has 24 divisors (see below), whose sum is σ = 153216. Its totient is φ = 33120.

The previous prime is 76511. The next prime is 76519. The reversal of 76516 is 61567.

76516 = 15² + 16² + ... + 61².

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (76511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1605 + ... + 1651.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁷⁶⁵¹⁶ is an apocalyptic number.

It is an amenable number.

76516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76608).

76516 is a wasteful number, since it uses less digits than its factorization.

76516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 76516 is about 276.6152562676. The cubic root of 76516 is about 42.4538830791.

The spelling of 76516 in words is "seventy-six thousand, five hundred sixteen".