8920880800 has 144 divisors (see below), whose sum is σ = 23514557472. Its totient is φ = 3285273600.

The previous prime is 8920880797. The next prime is 8920880827. The reversal of 8920880800 is 80880298.

It is a super-2 number, since 2×8920880800² (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 23 ways as a sum of consecutive naturals, for example, 5105527 + ... + 5107273.

It is an arithmetic number, because the mean of its divisors is an integer number (163295538).

Almost surely, 2^8920880800 is an apocalyptic number.

8920880800 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 8920880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757278736).

8920880800 is an abundant number, since it is smaller than the sum of its proper divisors (14593676672).

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

8920880800 is a wasteful number, since it uses less digits than its factorization.

8920880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The square root of 8920880800 is about 94450.4145041196. The cubic root of 8920880800 is about 2073.9705194676.

The spelling of 8920880800 in words is "eight billion, nine hundred twenty million, eight hundred eighty thousand, eight hundred".