880823160 has 320 divisors, whose sum is σ = 3437406720. Its totient is φ = 198132480.

The previous prime is 880823077. The next prime is 880823161. The reversal of 880823160 is 61328088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880823161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1610007 + ... + 1610553.

It is an arithmetic number, because the mean of its divisors is an integer number (10741896).

Almost surely, 2^880823160 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 880823160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718703360).

880823160 is an abundant number, since it is smaller than the sum of its proper divisors (2556583560).

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

880823160 is a wasteful number, since it uses less digits than its factorization.

880823160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 880823160 is about 29678.6650643185. The cubic root of 880823160 is about 958.5826741417.

The spelling of 880823160 in words is "eight hundred eighty million, eight hundred twenty-three thousand, one hundred sixty".