880261200 has 360 divisors, whose sum is σ = 3761092608. Its totient is φ = 185656320.

The previous prime is 880261199. The next prime is 880261223. The reversal of 880261200 is 2162088.

880261200 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 (360).

It is a congruent number.

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, 326257 + ... + 328943.

Almost surely, 2^880261200 is an apocalyptic number.

880261200 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 880261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880546304).

880261200 is an abundant number, since it is smaller than the sum of its proper divisors (2880831408).

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

880261200 is a wasteful number, since it uses less digits than its factorization.

880261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 880261200 is about 29669.1961468456. The cubic root of 880261200 is about 958.3787740688.

The spelling of 880261200 in words is "eight hundred eighty million, two hundred sixty-one thousand, two hundred".