880874400 has 144 divisors (see below), whose sum is σ = 3276915264. Its totient is φ = 201338880.

The previous prime is 880874387. The next prime is 880874419. The reversal of 880874400 is 4478088.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9417 + ... + 43016.

It is an arithmetic number, because the mean of its divisors is an integer number (22756356).

Almost surely, 2^880874400 is an apocalyptic number.

880874400 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 880874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638457632).

880874400 is an abundant number, since it is smaller than the sum of its proper divisors (2396040864).

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

880874400 is a wasteful number, since it uses less digits than its factorization.

880874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52463 (or 52450 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 880874400 is about 29679.5282981384. The cubic root of 880874400 is about 958.6012616123.

The spelling of 880874400 in words is "eight hundred eighty million, eight hundred seventy-four thousand, four hundred".