8800880800 has 72 divisors (see below), whose sum is σ = 21580243776. Its totient is φ = 3504771840.

The previous prime is 8800880797. The next prime is 8800880833. The reversal of 8800880800 is 80880088.

It is a happy number.

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

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 11 ways as a sum of consecutive naturals, for example, 157369 + ... + 205831.

It is an arithmetic number, because the mean of its divisors is an integer number (299725608).

Almost surely, 2^8800880800 is an apocalyptic number.

8800880800 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 8800880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10790121888).

8800880800 is an abundant number, since it is smaller than the sum of its proper divisors (12779362976).

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

8800880800 is a wasteful number, since it uses less digits than its factorization.

8800880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48710 (or 48697 counting only the distinct ones).

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

The square root of 8800880800 is about 93813.0097587749. The cubic root of 8800880800 is about 2064.6291098515.

The spelling of 8800880800 in words is "eight billion, eight hundred million, eight hundred eighty thousand, eight hundred".