75977664 has 56 divisors (see below), whose sum is σ = 229746048. Its totient is φ = 21707520.

The previous prime is 75977639. The next prime is 75977677. The reversal of 75977664 is 46677957.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26922 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (4102608).

Almost surely, 2^75977664 is an apocalyptic number.

It is an amenable number.

75977664 is an abundant number, since it is smaller than the sum of its proper divisors (153768384).

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

75977664 is a wasteful number, since it uses less digits than its factorization.

75977664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56553 (or 56543 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 75977664 is about 8716.5167354856. The cubic root of 75977664 is about 423.5408581511.

The spelling of 75977664 in words is "seventy-five million, nine hundred seventy-seven thousand, six hundred sixty-four".