768003 has 8 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 503208.

The previous prime is 767957. The next prime is 768013. The reversal of 768003 is 300867.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 768003 - 2⁸ = 767747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (768013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (130200).

2⁷⁶⁸⁰⁰³ is an apocalyptic number.

768003 is a deficient number, since it is larger than the sum of its proper divisors (273597).

768003 is a wasteful number, since it uses less digits than its factorization.

768003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 768003 is about 876.3578036396. The cubic root of 768003 is about 91.5772586452.

It can be divided in two parts, 76800 and 3, that multiplied together give a square (230400 = 480²).

The spelling of 768003 in words is "seven hundred sixty-eight thousand, three".