880688400 has 240 divisors, whose sum is σ = 3118621824. Its totient is φ = 211312640.

The previous prime is 880688363. The next prime is 880688441. The reversal of 880688400 is 4886088.

880688400 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 (240).

It is a super-2 number, since 2×880688400² = 1551224115789120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468262 + ... + 470138.

Almost surely, 2^880688400 is an apocalyptic number.

880688400 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 880688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559310912).

880688400 is an abundant number, since it is smaller than the sum of its proper divisors (2237933424).

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

880688400 is a wasteful number, since it uses less digits than its factorization.

880688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 880688400 is about 29676.3946597291. The cubic root of 880688400 is about 958.5337860881.

The spelling of 880688400 in words is "eight hundred eighty million, six hundred eighty-eight thousand, four hundred".