300180 has 24 divisors (see below), whose sum is σ = 840672. Its totient is φ = 80032.

The previous prime is 300163. The next prime is 300187. The reversal of 300180 is 81003.

300180 is nontrivially palindromic in base 11 and base 16.

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

300180 is an undulating number in base 16.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300187) by changing a digit.

300180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2442 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (35028).

2³⁰⁰¹⁸⁰ is an apocalyptic number.

300180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300180 is an abundant number, since it is smaller than the sum of its proper divisors (540492).

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

300180 is a wasteful number, since it uses less digits than its factorization.

300180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 300180 is about 547.8868496323. The cubic root of 300180 is about 66.9566809904.

Adding to 300180 its reverse (81003), we get a palindrome (381183).

It can be divided in two parts, 3001 and 80, that added together give a triangular number (3081 = T₇₈).

The spelling of 300180 in words is "three hundred thousand, one hundred eighty".