76164 has 24 divisors (see below), whose sum is σ = 194208. Its totient is φ = 23040.

The previous prime is 76163. The next prime is 76207. The reversal of 76164 is 46167.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (76163) 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, 157 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (8092).

2⁷⁶¹⁶⁴ is an apocalyptic number.

It is an amenable number.

76164 is an abundant number, since it is smaller than the sum of its proper divisors (118044).

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 (97104).

76164 is a wasteful number, since it uses less digits than its factorization.

76164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 593 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 76164 is about 275.9782600134. The cubic root of 76164 is about 42.3886821578.

The spelling of 76164 in words is "seventy-six thousand, one hundred sixty-four".