8800880088 has 256 divisors, whose sum is σ = 30342896640. Its totient is φ = 2052864000.

The previous prime is 8800880087. The next prime is 8800880111.

8800880088 is nontrivially palindromic in base 10.

8800880088 is a strobogrammatic number because it is the same when read upside-down.

8800880088 is a modest number, since divided by 880088 gives 88 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8800880083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883938 + ... + 893838.

It is an arithmetic number, because the mean of its divisors is an integer number (118526940).

Almost surely, 2^8800880088 is an apocalyptic number.

8800880088 is a gapful number since it is divisible by the number (88) 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 8800880088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171448320).

8800880088 is an abundant number, since it is smaller than the sum of its proper divisors (21542016552).

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

8800880088 is a wasteful number, since it uses less digits than its factorization.

8800880088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9974 counting only the distinct ones).

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

The square root of 8800880088 is about 93813.0059639920. The cubic root of 8800880088 is about 2064.6290541747.

Multiplying 8800880088 by its sum of digits (48), we get a palindrome (422442244224).

It can be divided in two parts, 8800 and 880088, that added together give a palindrome (888888).

The spelling of 8800880088 in words is "eight billion, eight hundred million, eight hundred eighty thousand, eighty-eight".