8977460800 has 168 divisors, whose sum is σ = 27541362240. Its totient is φ = 2798131200.

The previous prime is 8977460797. The next prime is 8977460831. The reversal of 8977460800 is 80647798.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86766 + ... + 159634.

It is an arithmetic number, because the mean of its divisors is an integer number (163936680).

Almost surely, 2^8977460800 is an apocalyptic number.

8977460800 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 8977460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770681120).

8977460800 is an abundant number, since it is smaller than the sum of its proper divisors (18563901440).

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

8977460800 is a wasteful number, since it uses less digits than its factorization.

8977460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72909 (or 72894 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 8977460800 is about 94749.4633230184. The cubic root of 8977460800 is about 2078.3459483320.

The spelling of 8977460800 in words is "eight billion, nine hundred seventy-seven million, four hundred sixty thousand, eight hundred".