880808800 has 72 divisors (see below), whose sum is σ = 2182500936. Its totient is φ = 347043840.

The previous prime is 880808771. The next prime is 880808801. The reversal of 880808800 is 8808088.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880808801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45384 + ... + 61816.

It is an arithmetic number, because the mean of its divisors is an integer number (30312513).

Almost surely, 2^880808800 is an apocalyptic number.

880808800 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 880808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091250468).

880808800 is an abundant number, since it is smaller than the sum of its proper divisors (1301692136).

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

880808800 is a wasteful number, since it uses less digits than its factorization.

880808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 880808800 is about 29678.4231387047. The cubic root of 880808800 is about 958.5774648773.

880808800 divided by its reverse (8808088) gives a square (100 = 10²).

The spelling of 880808800 in words is "eight hundred eighty million, eight hundred eight thousand, eight hundred".