77131164 has 96 divisors (see below), whose sum is σ = 204374016. Its totient is φ = 22438080.

The previous prime is 77131157. The next prime is 77131211. The reversal of 77131164 is 46113177.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607269 + ... + 607395.

It is an arithmetic number, because the mean of its divisors is an integer number (2128896).

Almost surely, 2^77131164 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 77131164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187008).

77131164 is an abundant number, since it is smaller than the sum of its proper divisors (127242852).

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

77131164 is a wasteful number, since it uses less digits than its factorization.

77131164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 77131164 is about 8782.4349698703. The cubic root of 77131164 is about 425.6735138691.

The spelling of 77131164 in words is "seventy-seven million, one hundred thirty-one thousand, one hundred sixty-four".