76757837664 has 96 divisors (see below), whose sum is σ = 205401710304. Its totient is φ = 25089658880.

The previous prime is 76757837633. The next prime is 76757837671. The reversal of 76757837664 is 46673875767.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 76757837595 and 76757837604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14554132 + ... + 14559404.

It is an arithmetic number, because the mean of its divisors is an integer number (2139601149).

Almost surely, 2^76757837664 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 76757837664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102700855152).

76757837664 is an abundant number, since it is smaller than the sum of its proper divisors (128643872640).

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

76757837664 is a wasteful number, since it uses less digits than its factorization.

76757837664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8192 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 66.

The spelling of 76757837664 in words is "seventy-six billion, seven hundred fifty-seven million, eight hundred thirty-seven thousand, six hundred sixty-four".