8804008800 has 288 divisors, whose sum is σ = 32018263200. Its totient is φ = 2334689280.

The previous prime is 8804008753. The next prime is 8804008831. The reversal of 8804008800 is 88004088.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4254166 + ... + 4256234.

It is an arithmetic number, because the mean of its divisors is an integer number (111174525).

Almost surely, 2^8804008800 is an apocalyptic number.

8804008800 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 8804008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009131600).

8804008800 is an abundant number, since it is smaller than the sum of its proper divisors (23214254400).

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

8804008800 is a wasteful number, since it uses less digits than its factorization.

8804008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8804008800 is about 93829.6797394087. The cubic root of 8804008800 is about 2064.8736836632.

The spelling of 8804008800 in words is "eight billion, eight hundred four million, eight thousand, eight hundred".