8008884800 has 168 divisors, whose sum is σ = 22635545280. Its totient is φ = 2732083200.

The previous prime is 8008884787. The next prime is 8008884817. The reversal of 8008884800 is 84888008.

It is a super-3 number, since 3×8008884800³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361506 + ... + 2364894.

Almost surely, 2^8008884800 is an apocalyptic number.

8008884800 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 8008884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317772640).

8008884800 is an abundant number, since it is smaller than the sum of its proper divisors (14626660480).

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

8008884800 is a wasteful number, since it uses less digits than its factorization.

8008884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 44.

The square root of 8008884800 is about 89492.3728593672. The cubic root of 8008884800 is about 2000.7401260729.

The spelling of 8008884800 in words is "eight billion, eight million, eight hundred eighty-four thousand, eight hundred".