880089600 has 480 divisors, whose sum is σ = 3281914944. Its totient is φ = 206438400.

The previous prime is 880089599. The next prime is 880089619. The reversal of 880089600 is 6980088.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20467179 + ... + 20467221.

Almost surely, 2^880089600 is an apocalyptic number.

880089600 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 880089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640957472).

880089600 is an abundant number, since it is smaller than the sum of its proper divisors (2401825344).

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

880089600 is a wasteful number, since it uses less digits than its factorization.

880089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 880089600 is about 29666.3041176349. The cubic root of 880089600 is about 958.3164938860.

The spelling of 880089600 in words is "eight hundred eighty million, eighty-nine thousand, six hundred".