77024164 has 48 divisors (see below), whose sum is σ = 159086592. Its totient is φ = 31947552.

The previous prime is 77024159. The next prime is 77024179. The reversal of 77024164 is 46142077.

77024164 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

77024164 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140539 + ... + 141085.

It is an arithmetic number, because the mean of its divisors is an integer number (3314304).

Almost surely, 2^77024164 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 77024164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79543296).

77024164 is an abundant number, since it is smaller than the sum of its proper divisors (82062428).

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

77024164 is a wasteful number, since it uses less digits than its factorization.

77024164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 77024164 is about 8776.3411510720. The cubic root of 77024164 is about 425.4765846317.

The spelling of 77024164 in words is "seventy-seven million, twenty-four thousand, one hundred sixty-four".