9008975800 has 144 divisors (see below), whose sum is σ = 23889799080. Its totient is φ = 3133152000.

The previous prime is 9008975779. The next prime is 9008975819. The reversal of 9008975800 is 85798009.

9008975800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1159930 + ... + 1167670.

Almost surely, 2^9008975800 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 9008975800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944899540).

9008975800 is an abundant number, since it is smaller than the sum of its proper divisors (14880823280).

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

9008975800 is a wasteful number, since it uses less digits than its factorization.

9008975800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 46.

The square root of 9008975800 is about 94915.6246357785. The cubic root of 9008975800 is about 2080.7750902029.

The spelling of 9008975800 in words is "nine billion, eight million, nine hundred seventy-five thousand, eight hundred".