180774 has 36 divisors (see below), whose sum is σ = 435708. Its totient is φ = 54120.

The previous prime is 180773. The next prime is 180779. The reversal of 180774 is 477081.

180774 = T₂₀ + T₂₁ + ... + T₁₀₂.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180773) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2137 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2¹⁸⁰⁷⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217854).

180774 is an abundant number, since it is smaller than the sum of its proper divisors (254934).

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

180774 is a wasteful number, since it uses less digits than its factorization.

180774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 180774 is about 425.1752579819. The cubic root of 180774 is about 56.5429751093.

It can be divided in two parts, 18077 and 4, that added together give a palindrome (18081).

The spelling of 180774 in words is "one hundred eighty thousand, seven hundred seventy-four".