880768512 has 320 divisors, whose sum is σ = 2921688000. Its totient is φ = 261660672.

The previous prime is 880768507. The next prime is 880768513. The reversal of 880768512 is 215867088.

880768512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880768513) 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, 30371314 + ... + 30371342.

It is an arithmetic number, because the mean of its divisors is an integer number (9130275).

Almost surely, 2^880768512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460844000).

880768512 is an abundant number, since it is smaller than the sum of its proper divisors (2040919488).

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

880768512 is an equidigital number, since it uses as much as digits as its factorization.

880768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 880768512 is about 29677.7443886829. The cubic root of 880768512 is about 958.5628496140.

The spelling of 880768512 in words is "eight hundred eighty million, seven hundred sixty-eight thousand, five hundred twelve".