8677882560 has 224 divisors, whose sum is σ = 29300667840. Its totient is φ = 2168455168.

The previous prime is 8677882547. The next prime is 8677882567. The reversal of 8677882560 is 652887768.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8677882560.

It is not an unprimeable number, because it can be changed into a prime (8677882567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4193206 + ... + 4195274.

Almost surely, 2^8677882560 is an apocalyptic number.

8677882560 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 8677882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650333920).

8677882560 is an abundant number, since it is smaller than the sum of its proper divisors (20622785280).

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

8677882560 is a wasteful number, since it uses less digits than its factorization.

8677882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The square root of 8677882560 is about 93155.1531585881. The cubic root of 8677882560 is about 2054.9657573873.

The spelling of 8677882560 in words is "eight billion, six hundred seventy-seven million, eight hundred eighty-two thousand, five hundred sixty".