77164640 has 48 divisors (see below), whose sum is σ = 208347552. Its totient is φ = 26456064.

The previous prime is 77164631. The next prime is 77164693. The reversal of 77164640 is 4646177.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 77164640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33329 + ... + 35568.

It is an arithmetic number, because the mean of its divisors is an integer number (4340574).

Almost surely, 2^77164640 is an apocalyptic number.

77164640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77164640 is an abundant number, since it is smaller than the sum of its proper divisors (131182912).

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

77164640 is a wasteful number, since it uses less digits than its factorization.

77164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68919 (or 68911 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 77164640 is about 8784.3406127039. The cubic root of 77164640 is about 425.7350877075.

The spelling of 77164640 in words is "seventy-seven million, one hundred sixty-four thousand, six hundred forty".