180730 has 32 divisors (see below), whose sum is σ = 373248. Its totient is φ = 62400.

The previous prime is 180701. The next prime is 180731. The reversal of 180730 is 37081.

180730 = T₅₂ + T₅₃ + ... + T₁₀₆.

It is a junction number, because it is equal to n+sod(n) for n = 180698 and 180707.

It is not an unprimeable number, because it can be changed into a prime (180731) 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, 3384 + ... + 3436.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2¹⁸⁰⁷³⁰ is an apocalyptic number.

180730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

180730 is an abundant number, since it is smaller than the sum of its proper divisors (192518).

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

180730 is a wasteful number, since it uses less digits than its factorization.

180730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 180730 is about 425.1235114646. The cubic root of 180730 is about 56.5383872578.

The spelling of 180730 in words is "one hundred eighty thousand, seven hundred thirty".