763985920 has 64 divisors (see below), whose sum is σ = 1833931440. Its totient is φ = 305528832.

The previous prime is 763985909. The next prime is 763985921. The reversal of 763985920 is 29589367.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763985921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161509 + ... + 166171.

Almost surely, 2^763985920 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 763985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916965720).

763985920 is an abundant number, since it is smaller than the sum of its proper divisors (1069945520).

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

763985920 is an frugal number, since it uses more digits than its factorization.

763985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The square root of 763985920 is about 27640.2952227360. The cubic root of 763985920 is about 914.1731289939.

The spelling of 763985920 in words is "seven hundred sixty-three million, nine hundred eighty-five thousand, nine hundred twenty".