80580 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 19968.

The previous prime is 80567. The next prime is 80599. The reversal of 80580 is 8508.

It is a super-3 number, since 3×80580³ = 1569650793336000, which contains 333 as substring.

It is an unprimeable number.

80580 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 15 ways as a sum of consecutive naturals, for example, 981 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁰⁵⁸⁰ 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 80580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

80580 is an abundant number, since it is smaller than the sum of its proper divisors (161340).

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

80580 is a wasteful number, since it uses less digits than its factorization.

80580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 80580 is about 283.8661656485. The cubic root of 80580 is about 43.1925741694.

Adding to 80580 its sum of digits (21), we get a triangular number (80601 = T₄₀₁).

The spelling of 80580 in words is "eighty thousand, five hundred eighty".