8801244800 has 96 divisors (see below), whose sum is σ = 22491780300. Its totient is φ = 3399065600.

The previous prime is 8801244779. The next prime is 8801244857. The reversal of 8801244800 is 84421088.

It can be written as a sum of positive squares in 6 ways, for example, as 4254170176 + 4547074624 = 65224^2 + 67432^2 .

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, 45380 + ... + 140220.

Almost surely, 2^8801244800 is an apocalyptic number.

8801244800 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 8801244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245890150).

8801244800 is an abundant number, since it is smaller than the sum of its proper divisors (13690535500).

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

8801244800 is a wasteful number, since it uses less digits than its factorization.

8801244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94894 (or 94877 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The square root of 8801244800 is about 93814.9497681473. The cubic root of 8801244800 is about 2064.6575734660.

Adding to 8801244800 its reverse (84421088), we get a palindrome (8885665888).

The spelling of 8801244800 in words is "eight billion, eight hundred one million, two hundred forty-four thousand, eight hundred".