790560 has 120 divisors (see below), whose sum is σ = 2835756. Its totient is φ = 207360.

The previous prime is 790547. The next prime is 790567. The reversal of 790560 is 65097.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 104976 = 828^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×790560² = 1249970227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (790567) by changing a digit.

790560 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 19 ways as a sum of consecutive naturals, for example, 12930 + ... + 12990.

2⁷⁹⁰⁵⁶⁰ 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 790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417878).

790560 is an abundant number, since it is smaller than the sum of its proper divisors (2045196).

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

790560 is a wasteful number, since it uses less digits than its factorization.

790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 790560 is about 889.1344105364. The cubic root of 790560 is about 92.4651926501.

The spelling of 790560 in words is "seven hundred ninety thousand, five hundred sixty".