8776978560 has 960 divisors, whose sum is σ = 38370784320. Its totient is φ = 1872211968.

The previous prime is 8776978547. The next prime is 8776978577. The reversal of 8776978560 is 658796778.

8776978560 is a `hidden beast` number, since 8 + 7 + 7 + 69 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130999647 + ... + 130999713.

It is an arithmetic number, because the mean of its divisors is an integer number (39969567).

Almost surely, 2^8776978560 is an apocalyptic number.

8776978560 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 8776978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19185392160).

8776978560 is an abundant number, since it is smaller than the sum of its proper divisors (29593805760).

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

8776978560 is a wasteful number, since it uses less digits than its factorization.

8776978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The square root of 8776978560 is about 93685.5301527402. The cubic root of 8776978560 is about 2062.7583121099.

The spelling of 8776978560 in words is "eight billion, seven hundred seventy-six million, nine hundred seventy-eight thousand, five hundred sixty".