9000822880 has 384 divisors, whose sum is σ = 26649907200. Its totient is φ = 2804668416.

The previous prime is 9000822877. The next prime is 9000822911. The reversal of 9000822880 is 882280009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84119787 + ... + 84119893.

It is an arithmetic number, because the mean of its divisors is an integer number (69400800).

Almost surely, 2^9000822880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9000822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324953600).

9000822880 is an abundant number, since it is smaller than the sum of its proper divisors (17649084320).

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

9000822880 is a wasteful number, since it uses less digits than its factorization.

9000822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 9000822880 is about 94872.6666643243. Note that the first 5 decimals coincide. The cubic root of 9000822880 is about 2080.1472159116.

The spelling of 9000822880 in words is "nine billion, eight hundred twenty-two thousand, eight hundred eighty".