8088880800 has 1296 divisors, whose sum is σ = 37158059232. Its totient is φ = 1509580800.

The previous prime is 8088880777. The next prime is 8088880817. The reversal of 8088880800 is 80888808.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8088880800.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 218618382 + ... + 218618418.

It is an arithmetic number, because the mean of its divisors is an integer number (28671342).

Almost surely, 2^8088880800 is an apocalyptic number.

8088880800 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 8088880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579029616).

8088880800 is an abundant number, since it is smaller than the sum of its proper divisors (29069178432).

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

8088880800 is a wasteful number, since it uses less digits than its factorization.

8088880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 48.

The square root of 8088880800 is about 89938.2054524105. The cubic root of 8088880800 is about 2007.3794715448.

8088880800 divided by its reverse (80888808) gives a square (100 = 10²).

It can be divided in two parts, 8088 and 880800, that added together give a palindrome (888888).

The spelling of 8088880800 in words is "eight billion, eighty-eight million, eight hundred eighty thousand, eight hundred".