9085770720 has 144 divisors (see below), whose sum is σ = 33390276192. Its totient is φ = 2236492800.

The previous prime is 9085770713. The next prime is 9085770779. The reversal of 9085770720 is 270775809.

9085770720 is a `hidden beast` number, since 9 + 0 + 8 + 577 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 223956 + ... + 261395.

It is an arithmetic number, because the mean of its divisors is an integer number (231876918).

Almost surely, 2^9085770720 is an apocalyptic number.

9085770720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9085770720 is an abundant number, since it is smaller than the sum of its proper divisors (24304505472).

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

9085770720 is a wasteful number, since it uses less digits than its factorization.

9085770720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485385 (or 485374 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 9085770720 is about 95319.3092715217. The cubic root of 9085770720 is about 2086.6707309830.

The spelling of 9085770720 in words is "nine billion, eighty-five million, seven hundred seventy thousand, seven hundred twenty".