880800768 has 132 divisors (see below), whose sum is σ = 2626186368. Its totient is φ = 284037120.

The previous prime is 880800763. The next prime is 880800779. The reversal of 880800768 is 867008088.

880800768 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 (880800763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284155 + ... + 287237.

Almost surely, 2^880800768 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 880800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313093184).

880800768 is an abundant number, since it is smaller than the sum of its proper divisors (1745385600).

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

880800768 is a wasteful number, since it uses less digits than its factorization.

880800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 880800768 is about 29678.2878212339. The cubic root of 880800768 is about 958.5745511471.

The spelling of 880800768 in words is "eight hundred eighty million, eight hundred thousand, seven hundred sixty-eight".