880288560 has 400 divisors, whose sum is σ = 3315403872. Its totient is φ = 215654400.

The previous prime is 880288553. The next prime is 880288609. The reversal of 880288560 is 65882088.

880288560 is a `hidden beast` number, since 8 + 8 + 0 + 2 + 88 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6719695 + ... + 6719825.

Almost surely, 2^880288560 is an apocalyptic number.

880288560 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 880288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657701936).

880288560 is an abundant number, since it is smaller than the sum of its proper divisors (2435115312).

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

880288560 is a wasteful number, since it uses less digits than its factorization.

880288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 880288560 is about 29669.6572275448. The cubic root of 880288560 is about 958.3887033078.

The spelling of 880288560 in words is "eight hundred eighty million, two hundred eighty-eight thousand, five hundred sixty".