763381920 has 192 divisors, whose sum is σ = 2790014976. Its totient is φ = 171832320.

The previous prime is 763381903. The next prime is 763381921. The reversal of 763381920 is 29183367.

It is not an unprimeable number, because it can be changed into a prime (763381921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223425 + ... + 226815.

It is an arithmetic number, because the mean of its divisors is an integer number (14531328).

Almost surely, 2^763381920 is an apocalyptic number.

763381920 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 763381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395007488).

763381920 is an abundant number, since it is smaller than the sum of its proper divisors (2026633056).

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

763381920 is a wasteful number, since it uses less digits than its factorization.

763381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 763381920 is about 27629.3669851482. The cubic root of 763381920 is about 913.9321532855.

The spelling of 763381920 in words is "seven hundred sixty-three million, three hundred eighty-one thousand, nine hundred twenty".