763968960 has 336 divisors, whose sum is σ = 2789529600. Its totient is φ = 191600640.

The previous prime is 763968937. The next prime is 763969013. The reversal of 763968960 is 69869367.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 763968897 and 763968906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3838941 + ... + 3839139.

Almost surely, 2^763968960 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 763968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394764800).

763968960 is an abundant number, since it is smaller than the sum of its proper divisors (2025560640).

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

763968960 is a wasteful number, since it uses less digits than its factorization.

763968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 763968960 is about 27639.9884225736. The cubic root of 763968960 is about 914.1663642571.

The spelling of 763968960 in words is "seven hundred sixty-three million, nine hundred sixty-eight thousand, nine hundred sixty".