880286400 has 672 divisors, whose sum is σ = 3809756160. Its totient is φ = 193536000.

The previous prime is 880286389. The next prime is 880286413. The reversal of 880286400 is 4682088.

880286400 is a `hidden beast` number, since 8 + 8 + 0 + 2 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12398365 + ... + 12398435.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 2^880286400 is an apocalyptic number.

880286400 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 880286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904878080).

880286400 is an abundant number, since it is smaller than the sum of its proper divisors (2929469760).

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

880286400 is a wasteful number, since it uses less digits than its factorization.

880286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 880286400 is about 29669.6208266975. The cubic root of 880286400 is about 958.3879194280.

The spelling of 880286400 in words is "eight hundred eighty million, two hundred eighty-six thousand, four hundred".