768993 has 8 divisors (see below), whose sum is σ = 1060800. Its totient is φ = 494928.

The previous prime is 768983. The next prime is 769003. The reversal of 768993 is 399867.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (768983) and next prime (769003).

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

It is a de Polignac number, because none of the positive numbers 2^k-768993 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4333 + ... + 4506.

It is an arithmetic number, because the mean of its divisors is an integer number (132600).

2⁷⁶⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

768993 is a deficient number, since it is larger than the sum of its proper divisors (291807).

768993 is a wasteful number, since it uses less digits than its factorization.

768993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871.

The product of its digits is 81648, while the sum is 42.

The square root of 768993 is about 876.9224595140. The cubic root of 768993 is about 91.6165911990.

The spelling of 768993 in words is "seven hundred sixty-eight thousand, nine hundred ninety-three".