8180 has 12 divisors (see below), whose sum is σ = 17220. Its totient is φ = 3264.

The previous prime is 8179. The next prime is 8191. The reversal of 8180 is 818.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5476 + 2704 = 74^2 + 52^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185 + ... + 224.

It is an arithmetic number, because the mean of its divisors is an integer number (1435).

2⁸¹⁸⁰ is an apocalyptic number.

It is an amenable number.

8180 is an abundant number, since it is smaller than the sum of its proper divisors (9040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8610).

8180 is a wasteful number, since it uses less digits than its factorization.

8180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8180 is about 90.4433524368. The cubic root of 8180 is about 20.1488888550.

Adding to 8180 its reverse (818), we get a palindrome (8998).

It can be divided in two parts, 81 and 80, that added together give a palindrome (161).

The spelling of 8180 in words is "eight thousand, one hundred eighty".