764107121756 has 48 divisors (see below), whose sum is σ = 1530972914688. Its totient is φ = 330300062400.

The previous prime is 764107121741. The next prime is 764107121759. The reversal of 764107121756 is 657121701467.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 764107121756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764107121759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007140 + ... + 2357291.

It is an arithmetic number, because the mean of its divisors is an integer number (31895269056).

Almost surely, 2^764107121756 is an apocalyptic number.

It is an amenable number.

764107121756 is an abundant number, since it is smaller than the sum of its proper divisors (766865792932).

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

764107121756 is a wasteful number, since it uses less digits than its factorization.

764107121756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364642 (or 4364640 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 764107121756 in words is "seven hundred sixty-four billion, one hundred seven million, one hundred twenty-one thousand, seven hundred fifty-six".