8882992800 has 432 divisors, whose sum is σ = 34768712160. Its totient is φ = 2115840000.

The previous prime is 8882992799. The next prime is 8882992843. The reversal of 8882992800 is 82992888.

It is a super-2 number, since 2×8882992800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4671850 + ... + 4673750.

It is an arithmetic number, because the mean of its divisors is an integer number (80483130).

Almost surely, 2^8882992800 is an apocalyptic number.

8882992800 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 8882992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384356080).

8882992800 is an abundant number, since it is smaller than the sum of its proper divisors (25885719360).

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

8882992800 is a wasteful number, since it uses less digits than its factorization.

8882992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 8882992800 is about 94249.6302380015. The cubic root of 8882992800 is about 2071.0302230207.

The spelling of 8882992800 in words is "eight billion, eight hundred eighty-two million, nine hundred ninety-two thousand, eight hundred".