880387200 has 576 divisors, whose sum is σ = 3926445120. Its totient is φ = 182476800.

The previous prime is 880387171. The next prime is 880387231. The reversal of 880387200 is 2783088.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 2217402 + ... + 2217798.

It is an arithmetic number, because the mean of its divisors is an integer number (6816745).

Almost surely, 2^880387200 is an apocalyptic number.

880387200 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 880387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963222560).

880387200 is an abundant number, since it is smaller than the sum of its proper divisors (3046057920).

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

880387200 is a wasteful number, since it uses less digits than its factorization.

880387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 880387200 is about 29671.3194853212. The cubic root of 880387200 is about 958.4244991196.

The spelling of 880387200 in words is "eight hundred eighty million, three hundred eighty-seven thousand, two hundred".