820180 has 24 divisors (see below), whose sum is σ = 1798272. Its totient is φ = 313632.

The previous prime is 820177. The next prime is 820187. The reversal of 820180 is 81028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 1351.

It is an arithmetic number, because the mean of its divisors is an integer number (74928).

2⁸²⁰¹⁸⁰ is an apocalyptic number.

It is an amenable number.

820180 is an abundant number, since it is smaller than the sum of its proper divisors (978092).

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

820180 is a wasteful number, since it uses less digits than its factorization.

820180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 820180 is about 905.6378967336. The cubic root of 820180 is about 93.6058644389.

It can be divided in two parts, 8201 and 80, that added together give a square (8281 = 91²).

The spelling of 820180 in words is "eight hundred twenty thousand, one hundred eighty".