790624 has 24 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 382080.

The previous prime is 790613. The next prime is 790633. The reversal of 790624 is 426097.

It is a junction number, because it is equal to n+sod(n) for n = 790592 and 790601.

It is a congruent number.

It is an unprimeable number.

790624 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 594 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2⁷⁹⁰⁶²⁴ 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 790624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

790624 is an abundant number, since it is smaller than the sum of its proper divisors (818144).

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

790624 is a wasteful number, since it uses less digits than its factorization.

790624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 790624 is about 889.1703998672. The cubic root of 790624 is about 92.4676877644.

The spelling of 790624 in words is "seven hundred ninety thousand, six hundred twenty-four".