880776960 has 432 divisors, whose sum is σ = 3400169472. Its totient is φ = 193536000.

The previous prime is 880776889. The next prime is 880776979. The reversal of 880776960 is 69677088.

It is a happy number.

880776960 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832885 + ... + 5833035.

Almost surely, 2^880776960 is an apocalyptic number.

880776960 is a gapful number since it is divisible by the number (80) 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 880776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700084736).

880776960 is an abundant number, since it is smaller than the sum of its proper divisors (2519392512).

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

880776960 is a wasteful number, since it uses less digits than its factorization.

880776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 880776960 is about 29677.8867172176. The cubic root of 880776960 is about 958.5659143289.

The spelling of 880776960 in words is "eight hundred eighty million, seven hundred seventy-six thousand, nine hundred sixty".