793920 has 56 divisors (see below), whose sum is σ = 2523744. Its totient is φ = 211456.

The previous prime is 793901. The next prime is 793927. The reversal of 793920 is 29397.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (793927) by changing a digit.

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, 547 + ... + 1373.

2⁷⁹³⁹²⁰ 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 793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261872).

793920 is an abundant number, since it is smaller than the sum of its proper divisors (1729824).

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

793920 is a wasteful number, since it uses less digits than its factorization.

793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 793920 is about 891.0218852531. The cubic root of 793920 is about 92.5960045360.

The spelling of 793920 in words is "seven hundred ninety-three thousand, nine hundred twenty".