793664 has 14 divisors (see below), whose sum is σ = 1575054. Its totient is φ = 396800.

The previous prime is 793633. The next prime is 793669. The reversal of 793664 is 466397.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 153664 = 800^2 + 392^2 .

It is not an unprimeable number, because it can be changed into a prime (793669) by changing a digit.

793664 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, 6137 + ... + 6264.

2⁷⁹³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

793664 is a deficient number, since it is larger than the sum of its proper divisors (781390).

793664 is a wasteful number, since it uses less digits than its factorization.

793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12413 (or 12403 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 793664 is about 890.8782183890. The cubic root of 793664 is about 92.5860509196.

It can be divided in two parts, 7936 and 64, that added together give a cube (8000 = 20³).

The spelling of 793664 in words is "seven hundred ninety-three thousand, six hundred sixty-four".