8680765800 has 384 divisors, whose sum is σ = 32557916160. Its totient is φ = 1870387200.

The previous prime is 8680765799. The next prime is 8680765817. The reversal of 8680765800 is 85670868.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8680765800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7051185 + ... + 7052415.

It is an arithmetic number, because the mean of its divisors is an integer number (84786240).

Almost surely, 2^8680765800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8680765800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16278958080).

8680765800 is an abundant number, since it is smaller than the sum of its proper divisors (23877150360).

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

8680765800 is a wasteful number, since it uses less digits than its factorization.

8680765800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 8680765800 is about 93170.6273457467. The cubic root of 8680765800 is about 2055.1933207112.

The spelling of 8680765800 in words is "eight billion, six hundred eighty million, seven hundred sixty-five thousand, eight hundred".