8761978800 has 720 divisors, whose sum is σ = 34000948800. Its totient is φ = 2081587200.

The previous prime is 8761978781. The next prime is 8761978853. The reversal of 8761978800 is 88791678.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 98449156 + ... + 98449244.

It is an arithmetic number, because the mean of its divisors is an integer number (47223540).

Almost surely, 2^8761978800 is an apocalyptic number.

8761978800 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 8761978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000474400).

8761978800 is an abundant number, since it is smaller than the sum of its proper divisors (25238970000).

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

8761978800 is a wasteful number, since it uses less digits than its factorization.

8761978800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The square root of 8761978800 is about 93605.4421494819. The cubic root of 8761978800 is about 2061.5825649726.

The spelling of 8761978800 in words is "eight billion, seven hundred sixty-one million, nine hundred seventy-eight thousand, eight hundred".