4000768 has 22 divisors (see below), whose sum is σ = 7999676. Its totient is φ = 1999872.

The previous prime is 4000751. The next prime is 4000813. The reversal of 4000768 is 8670004.

4000768 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×4000768² = 32012289179648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 930 + ... + 2977.

Almost surely, 2^4000768 is an apocalyptic number.

It is an amenable number.

4000768 is a deficient number, since it is larger than the sum of its proper divisors (3998908).

4000768 is an equidigital number, since it uses as much as digits as its factorization.

4000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 4000768 is about 2000.1919907849. The cubic root of 4000768 is about 158.7502639134.

The spelling of 4000768 in words is "four million, seven hundred sixty-eight", and thus it is an aban number.