763864992 has 240 divisors, whose sum is σ = 2491074432. Its totient is φ = 227681280.

The previous prime is 763864987. The next prime is 763864993. The reversal of 763864992 is 299468367.

It is a happy number.

763864992 is a `hidden beast` number, since 76 + 3 + 86 + 499 + 2 = 666.

763864992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (763864993) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2081193 + ... + 2081559.

Almost surely, 2^763864992 is an apocalyptic number.

763864992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763864992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245537216).

763864992 is an abundant number, since it is smaller than the sum of its proper divisors (1727209440).

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

763864992 is a wasteful number, since it uses less digits than its factorization.

763864992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 456 counting only the distinct ones).

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

The square root of 763864992 is about 27638.1076052613. The cubic root of 763864992 is about 914.1248929560.

The spelling of 763864992 in words is "seven hundred sixty-three million, eight hundred sixty-four thousand, nine hundred ninety-two".