880364400 has 120 divisors (see below), whose sum is σ = 2854400640. Its totient is φ = 231909120.

The previous prime is 880364393. The next prime is 880364453. The reversal of 880364400 is 4463088.

880364400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 95181 + ... + 104019.

It is an arithmetic number, because the mean of its divisors is an integer number (23786672).

Almost surely, 2^880364400 is an apocalyptic number.

880364400 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 880364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427200320).

880364400 is an abundant number, since it is smaller than the sum of its proper divisors (1974036240).

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

880364400 is a wasteful number, since it uses less digits than its factorization.

880364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 880364400 is about 29670.9352734288. The cubic root of 880364400 is about 958.4162253861.

The spelling of 880364400 in words is "eight hundred eighty million, three hundred sixty-four thousand, four hundred".