790830 has 64 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 201600.

The previous prime is 790819. The next prime is 790831. The reversal of 790830 is 38097.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 790794 and 790803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 790830.

It is not an unprimeable number, because it can be changed into a prime (790831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7780 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁷⁹⁰⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

790830 is an abundant number, since it is smaller than the sum of its proper divisors (1412370).

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

790830 is a wasteful number, since it uses less digits than its factorization.

790830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 790830 is about 889.2862306367. The cubic root of 790830 is about 92.4757179994.

The spelling of 790830 in words is "seven hundred ninety thousand, eight hundred thirty".