8880088800 has 288 divisors, whose sum is σ = 32388177024. Its totient is φ = 2094336000.

The previous prime is 8880088781. The next prime is 8880088807. The reversal of 8880088800 is 88800888.

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 zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8880088800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8880088807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 972255 + ... + 981345.

It is an arithmetic number, because the mean of its divisors is an integer number (112458948).

Almost surely, 2^8880088800 is an apocalyptic number.

8880088800 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 8880088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16194088512).

8880088800 is an abundant number, since it is smaller than the sum of its proper divisors (23508088224).

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

8880088800 is a wasteful number, since it uses less digits than its factorization.

8880088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9149 counting only the distinct ones).

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

The square root of 8880088800 is about 94234.2230826996. The cubic root of 8880088800 is about 2070.8045135325.

8880088800 divided by its reverse (88800888) gives a square (100 = 10²).

It can be divided in two parts, 8880088 and 800, that added together give a palindrome (8880888).

The spelling of 8880088800 in words is "eight billion, eight hundred eighty million, eighty-eight thousand, eight hundred".