800768 has 48 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 360448.

The previous prime is 800759. The next prime is 800773. The reversal of 800768 is 867008.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 800768.

It is a congruent number.

It is an unprimeable number.

800768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34805 + ... + 34827.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁸⁰⁰⁷⁶⁸ 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 800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520).

800768 is an abundant number, since it is smaller than the sum of its proper divisors (968272).

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

800768 is a wasteful number, since it uses less digits than its factorization.

800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 800768 is about 894.8564130630. The cubic root of 800768 is about 92.8614733399.

The spelling of 800768 in words is "eight hundred thousand, seven hundred sixty-eight".