793352 has 32 divisors (see below), whose sum is σ = 1758720. Its totient is φ = 328320.

The previous prime is 793343. The next prime is 793379. The reversal of 793352 is 253397.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

793352 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 1508 + ... + 1964.

It is an arithmetic number, because the mean of its divisors is an integer number (54960).

2⁷⁹³³⁵² 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 793352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879360).

793352 is an abundant number, since it is smaller than the sum of its proper divisors (965368).

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

793352 is a wasteful number, since it uses less digits than its factorization.

793352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its digits is 5670, while the sum is 29.

The square root of 793352 is about 890.7030930675. The cubic root of 793352 is about 92.5739170552.

The spelling of 793352 in words is "seven hundred ninety-three thousand, three hundred fifty-two".