8777976480 has 672 divisors, whose sum is σ = 38314249344. Its totient is φ = 1849817088.

The previous prime is 8777976463. The next prime is 8777976509. The reversal of 8777976480 is 846797778.

8777976480 is a `hidden beast` number, since 87 + 7 + 7 + 9 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 10613827 + ... + 10614653.

It is an arithmetic number, because the mean of its divisors is an integer number (57015252).

Almost surely, 2^8777976480 is an apocalyptic number.

8777976480 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 8777976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157124672).

8777976480 is an abundant number, since it is smaller than the sum of its proper divisors (29536272864).

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

8777976480 is a wasteful number, since it uses less digits than its factorization.

8777976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The square root of 8777976480 is about 93690.8559038714. The cubic root of 8777976480 is about 2062.8364859276.

The spelling of 8777976480 in words is "eight billion, seven hundred seventy-seven million, nine hundred seventy-six thousand, four hundred eighty".