764971872 has 96 divisors (see below), whose sum is σ = 2369009664. Its totient is φ = 211507200.

The previous prime is 764971847. The next prime is 764971951. The reversal of 764971872 is 278179467.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2472 + ... + 39192.

It is an arithmetic number, because the mean of its divisors is an integer number (24677184).

Almost surely, 2^764971872 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 764971872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184504832).

764971872 is an abundant number, since it is smaller than the sum of its proper divisors (1604037792).

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

764971872 is a wasteful number, since it uses less digits than its factorization.

764971872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36772 (or 36764 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 764971872 is about 27658.1248822114. The cubic root of 764971872 is about 914.5662179875.

The spelling of 764971872 in words is "seven hundred sixty-four million, nine hundred seventy-one thousand, eight hundred seventy-two".