77257664 has 28 divisors (see below), whose sum is σ = 167246808. Its totient is φ = 35116800.

The previous prime is 77257651. The next prime is 77257669. The reversal of 77257664 is 46675277.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77257669) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 54167 + ... + 55574.

Almost surely, 2^77257664 is an apocalyptic number.

It is an amenable number.

77257664 is an abundant number, since it is smaller than the sum of its proper divisors (89989144).

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

77257664 is a wasteful number, since it uses less digits than its factorization.

77257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109764 (or 109754 counting only the distinct ones).

The product of its digits is 493920, while the sum is 44.

The square root of 77257664 is about 8789.6338945374. The cubic root of 77257664 is about 425.9060972834.

The spelling of 77257664 in words is "seventy-seven million, two hundred fifty-seven thousand, six hundred sixty-four".