790080 has 56 divisors (see below), whose sum is σ = 2511552. Its totient is φ = 210432.

The previous prime is 790063. The next prime is 790087. The reversal of 790080 is 80097.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 790080.

It is not an unprimeable number, because it can be changed into a prime (790087) by changing a digit.

790080 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, 549 + ... + 1371.

2⁷⁹⁰⁰⁸⁰ 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 790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255776).

790080 is an abundant number, since it is smaller than the sum of its proper divisors (1721472).

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

790080 is a wasteful number, since it uses less digits than its factorization.

790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 790080 is about 888.8644441083. The cubic root of 790080 is about 92.4464749992.

The spelling of 790080 in words is "seven hundred ninety thousand, eighty".