77164 has 12 divisors (see below), whose sum is σ = 137088. Its totient is φ = 38000.

The previous prime is 77153. The next prime is 77167. The reversal of 77164 is 46177.

Its product of digits (1176) is a multiple of the sum of its prime divisors (294).

It is not an unprimeable number, because it can be changed into a prime (77167) by changing a digit.

77164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 309 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2⁷⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

77164 is a deficient number, since it is larger than the sum of its proper divisors (59924).

77164 is a wasteful number, since it uses less digits than its factorization.

77164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 77164 is about 277.7840888172. The cubic root of 77164 is about 42.5733910695.

The spelling of 77164 in words is "seventy-seven thousand, one hundred sixty-four".