764881920 has 352 divisors, whose sum is σ = 2971261440. Its totient is φ = 185057280.

The previous prime is 764881919. The next prime is 764881933. The reversal of 764881920 is 29188467.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520389 + ... + 1520891.

Almost surely, 2^764881920 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 764881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485630720).

764881920 is an abundant number, since it is smaller than the sum of its proper divisors (2206379520).

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

764881920 is a wasteful number, since it uses less digits than its factorization.

764881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 764881920 is about 27656.4986937971. The cubic root of 764881920 is about 914.5303690505.

The spelling of 764881920 in words is "seven hundred sixty-four million, eight hundred eighty-one thousand, nine hundred twenty".