763423360 has 256 divisors, whose sum is σ = 2256076800. Its totient is φ = 241274880.

The previous prime is 763423351. The next prime is 763423379. The reversal of 763423360 is 63324367.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3194121 + ... + 3194359.

It is an arithmetic number, because the mean of its divisors is an integer number (8812800).

Almost surely, 2^763423360 is an apocalyptic number.

763423360 is a gapful number since it is divisible by the number (70) 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 763423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128038400).

763423360 is an abundant number, since it is smaller than the sum of its proper divisors (1492653440).

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

763423360 is a wasteful number, since it uses less digits than its factorization.

763423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 34.

The square root of 763423360 is about 27630.1169016709. The cubic root of 763423360 is about 913.9486905138.

The spelling of 763423360 in words is "seven hundred sixty-three million, four hundred twenty-three thousand, three hundred sixty".