880288920 has 192 divisors, whose sum is σ = 3336840000. Its totient is φ = 201180672.

The previous prime is 880288919. The next prime is 880288949. The reversal of 880288920 is 29882088.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 119916 + ... + 127044.

It is an arithmetic number, because the mean of its divisors is an integer number (17379375).

Almost surely, 2^880288920 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 880288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668420000).

880288920 is an abundant number, since it is smaller than the sum of its proper divisors (2456551080).

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

880288920 is a wasteful number, since it uses less digits than its factorization.

880288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 880288920 is about 29669.6632943483. The cubic root of 880288920 is about 958.3888339544.

The spelling of 880288920 in words is "eight hundred eighty million, two hundred eighty-eight thousand, nine hundred twenty".