763768480 has 24 divisors (see below), whose sum is σ = 1804403412. Its totient is φ = 305507328.

The previous prime is 763768463. The next prime is 763768507. The reversal of 763768480 is 84867367.

It can be written as a sum of positive squares in 2 ways, for example, as 680375056 + 83393424 = 26084^2 + 9132^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2386617 + ... + 2386936.

Almost surely, 2^763768480 is an apocalyptic number.

It is an amenable number.

763768480 is an abundant number, since it is smaller than the sum of its proper divisors (1040634932).

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

763768480 is a wasteful number, since it uses less digits than its factorization.

763768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773568 (or 4773560 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The square root of 763768480 is about 27636.3615550238. The cubic root of 763768480 is about 914.0863923752.

The spelling of 763768480 in words is "seven hundred sixty-three million, seven hundred sixty-eight thousand, four hundred eighty".