768008 has 8 divisors (see below), whose sum is σ = 1440030. Its totient is φ = 384000.

The previous prime is 767957. The next prime is 768013. The reversal of 768008 is 800867.

It can be written as a sum of positive squares in only one way, i.e., 743044 + 24964 = 862^2 + 158^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is an unprimeable number.

768008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47993 + ... + 48008.

2⁷⁶⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

768008 is a deficient number, since it is larger than the sum of its proper divisors (672022).

768008 is a wasteful number, since it uses less digits than its factorization.

768008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96007 (or 96003 counting only the distinct ones).

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

The square root of 768008 is about 876.3606563510. The cubic root of 768008 is about 91.5774573793.

The spelling of 768008 in words is "seven hundred sixty-eight thousand, eight".