763964928 has 120 divisors (see below), whose sum is σ = 2216038968. Its totient is φ = 253366272.

The previous prime is 763964923. The next prime is 763964959. The reversal of 763964928 is 829469367.

It is a happy number.

763964928 is a `hidden beast` number, since 7 + 63 + 96 + 492 + 8 = 666.

It is a super-2 number, since 2×763964928² = 1167284822428090368, which contains 22 as substring.

Its product of digits (3919104) is a multiple of the sum of its prime factors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763964923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1460475 + ... + 1460997.

Almost surely, 2^763964928 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 763964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108019484).

763964928 is an abundant number, since it is smaller than the sum of its proper divisors (1452074040).

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

763964928 is a wasteful number, since it uses less digits than its factorization.

763964928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 763964928 is about 27639.9154846754. The cubic root of 763964928 is about 914.1647560220.

The spelling of 763964928 in words is "seven hundred sixty-three million, nine hundred sixty-four thousand, nine hundred twenty-eight".