793408 has 84 divisors (see below), whose sum is σ = 2084832. Its totient is φ = 295680.

The previous prime is 793399. The next prime is 793439. The reversal of 793408 is 804397.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 793408.

It is a congruent number.

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 in 11 ways as a sum of consecutive naturals, for example, 34485 + ... + 34507.

2⁷⁹³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042416).

793408 is an abundant number, since it is smaller than the sum of its proper divisors (1291424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

793408 is a wasteful number, since it uses less digits than its factorization.

793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 793408 is about 890.7345283529. The cubic root of 793408 is about 92.5760951625.

The spelling of 793408 in words is "seven hundred ninety-three thousand, four hundred eight".