8000768 has 18 divisors (see below), whose sum is σ = 15970794. Its totient is φ = 4000256.

The previous prime is 8000753. The next prime is 8000771. The reversal of 8000768 is 8670008.

It can be written as a sum of positive squares in only one way, i.e., 7139584 + 861184 = 2672^2 + 928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8000768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15371 + ... + 15882.

Almost surely, 2^8000768 is an apocalyptic number.

It is an amenable number.

8000768 is a deficient number, since it is larger than the sum of its proper divisors (7970026).

8000768 is an equidigital number, since it uses as much as digits as its factorization.

8000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31269 (or 31255 counting only the distinct ones).

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

The square root of 8000768 is about 2828.5628859900. The cubic root of 8000768 is about 200.0063997952.

The spelling of 8000768 in words is "eight million, seven hundred sixty-eight", and thus it is an aban number.