768880120 has 32 divisors (see below), whose sum is σ = 1730905200. Its totient is φ = 307387648.

The previous prime is 768880111. The next prime is 768880121. The reversal of 768880120 is 21088867.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768880121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94452 + ... + 102268.

Almost surely, 2^768880120 is an apocalyptic number.

It is an amenable number.

768880120 is an abundant number, since it is smaller than the sum of its proper divisors (962025080).

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

768880120 is a wasteful number, since it uses less digits than its factorization.

768880120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 768880120 is about 27728.6876717958. The cubic root of 768880120 is about 916.1210819898.

The spelling of 768880120 in words is "seven hundred sixty-eight million, eight hundred eighty thousand, one hundred twenty".