9077868800 has 648 divisors, whose sum is σ = 30612415680. Its totient is φ = 2587852800.

The previous prime is 9077868757. The next prime is 9077868857. The reversal of 9077868800 is 88687709.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83283146 + ... + 83283254.

Almost surely, 2^9077868800 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 9077868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306207840).

9077868800 is an abundant number, since it is smaller than the sum of its proper divisors (21534546880).

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

9077868800 is a wasteful number, since it uses less digits than its factorization.

9077868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The square root of 9077868800 is about 95277.8505215142. The cubic root of 9077868800 is about 2086.0656277546.

The spelling of 9077868800 in words is "nine billion, seventy-seven million, eight hundred sixty-eight thousand, eight hundred".