8800940800 has 216 divisors, whose sum is σ = 24074771616. Its totient is φ = 3168337920.

The previous prime is 8800940791. The next prime is 8800940803. The reversal of 8800940800 is 80490088.

It is a self number, because there is not a number n which added to its sum of digits gives 8800940800.

It is not an unprimeable number, because it can be changed into a prime (8800940803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2500642 + ... + 2504158.

It is an arithmetic number, because the mean of its divisors is an integer number (111457276).

Almost surely, 2^8800940800 is an apocalyptic number.

8800940800 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 8800940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037385808).

8800940800 is an abundant number, since it is smaller than the sum of its proper divisors (15273830816).

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

8800940800 is a wasteful number, since it uses less digits than its factorization.

8800940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 8800940800 is about 93813.3295433010. The cubic root of 8800940800 is about 2064.6338017101.

The spelling of 8800940800 in words is "eight billion, eight hundred million, nine hundred forty thousand, eight hundred".