763168980 has 192 divisors, whose sum is σ = 2567577600. Its totient is φ = 165597696.

The previous prime is 763168979. The next prime is 763168997. The reversal of 763168980 is 89861367.

763168980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×763168980³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1922142 + ... + 1922538.

It is an arithmetic number, because the mean of its divisors is an integer number (13372800).

Almost surely, 2^763168980 is an apocalyptic number.

763168980 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 763168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283788800).

763168980 is an abundant number, since it is smaller than the sum of its proper divisors (1804408620).

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

763168980 is a wasteful number, since it uses less digits than its factorization.

763168980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 763168980 is about 27625.5132079026. The cubic root of 763168980 is about 913.8471670745.

The spelling of 763168980 in words is "seven hundred sixty-three million, one hundred sixty-eight thousand, nine hundred eighty".