763644960 has 432 divisors, whose sum is σ = 2988085464. Its totient is φ = 176504832.

The previous prime is 763644929. The next prime is 763644971. The reversal of 763644960 is 69446367.

763644960 is a `hidden beast` number, since 7 + 636 + 4 + 4 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233356176 + 530288784 = 15276^2 + 23028^2 .

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 71 ways as a sum of consecutive naturals, for example, 6757864 + ... + 6757976.

Almost surely, 2^763644960 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 763644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494042732).

763644960 is an abundant number, since it is smaller than the sum of its proper divisors (2224440504).

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

763644960 is a wasteful number, since it uses less digits than its factorization.

763644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 763644960 is about 27634.1267276533. The cubic root of 763644960 is about 914.0371130271.

The spelling of 763644960 in words is "seven hundred sixty-three million, six hundred forty-four thousand, nine hundred sixty".