860800768 has 72 divisors (see below), whose sum is σ = 1761519200. Its totient is φ = 419696640.

The previous prime is 860800753. The next prime is 860800813. The reversal of 860800768 is 867008068.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 3107446 + ... + 3107722.

Almost surely, 2^860800768 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 860800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880759600).

860800768 is an abundant number, since it is smaller than the sum of its proper divisors (900718432).

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

860800768 is a wasteful number, since it uses less digits than its factorization.

860800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 860800768 is about 29339.4064016299. The cubic root of 860800768 is about 951.2636067891.

The spelling of 860800768 in words is "eight hundred sixty million, eight hundred thousand, seven hundred sixty-eight".