797580 has 96 divisors (see below), whose sum is σ = 2849280. Its totient is φ = 181440.

The previous prime is 797579. The next prime is 797581. The reversal of 797580 is 85797.

797580 = T₁₄₀ + T₁₄₁ + ... + T₁₉₅.

797580 is a `hidden beast` number, since 79 + 7 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (797579) and next prime (797581).

It is a super-2 number, since 2×797580² = 1272267712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (797581) 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, 3675 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (29680).

2⁷⁹⁷⁵⁸⁰ is an apocalyptic number.

797580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424640).

797580 is an abundant number, since it is smaller than the sum of its proper divisors (2051700).

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

797580 is a wasteful number, since it uses less digits than its factorization.

797580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 797580 is about 893.0733452522. The cubic root of 797580 is about 92.7380767531.

797580 divided by its sum of digits (36) gives a triangular number (22155 = T₂₁₀).

The spelling of 797580 in words is "seven hundred ninety-seven thousand, five hundred eighty".