790032 has 40 divisors (see below), whose sum is σ = 2073280. Its totient is φ = 259200.

The previous prime is 790021. The next prime is 790033. The reversal of 790032 is 230097.

It is a super-2 number, since 2×790032² = 1248301122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 789990 and 790008.

It is not an unprimeable number, because it can be changed into a prime (790033) by changing a digit.

790032 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 in 7 ways as a sum of consecutive naturals, for example, 5157 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (51832).

2⁷⁹⁰⁰³² 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 790032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036640).

790032 is an abundant number, since it is smaller than the sum of its proper divisors (1283248).

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

790032 is a wasteful number, since it uses less digits than its factorization.

790032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 790032 is about 888.8374429557. The cubic root of 790032 is about 92.4446028172. Note that the first 3 decimals are identical.

The spelling of 790032 in words is "seven hundred ninety thousand, thirty-two".