76916 has 24 divisors (see below), whose sum is σ = 159936. Its totient is φ = 31680.

The previous prime is 76913. The next prime is 76919. The reversal of 76916 is 61967.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76913) and next prime (76919).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76913) 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, 1115 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (6664).

2⁷⁶⁹¹⁶ 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 76916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968).

76916 is an abundant number, since it is smaller than the sum of its proper divisors (83020).

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

76916 is a wasteful number, since it uses less digits than its factorization.

76916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its digits is 2268, while the sum is 29.

The square root of 76916 is about 277.3373397147. The cubic root of 76916 is about 42.5277327645.

The spelling of 76916 in words is "seventy-six thousand, nine hundred sixteen".