80220 has 48 divisors (see below), whose sum is σ = 258048. Its totient is φ = 18240.

The previous prime is 80209. The next prime is 80221. The reversal of 80220 is 2208.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 80196 and 80205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁸⁰²²⁰ 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 80220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

80220 is an abundant number, since it is smaller than the sum of its proper divisors (177828).

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

80220 is a wasteful number, since it uses less digits than its factorization.

80220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 80220 is about 283.2313541965. The cubic root of 80220 is about 43.1281556187.

Subtracting from 80220 its sum of digits (12), we obtain a palindrome (80208).

Adding to 80220 its reverse (2208), we get a palindrome (82428).

It can be divided in two parts, 80 and 220, that added together give a triangular number (300 = T₂₄).

The spelling of 80220 in words is "eighty thousand, two hundred twenty".