180774100 has 72 divisors (see below), whose sum is σ = 424943288. Its totient is φ = 66355200.

The previous prime is 180774067. The next prime is 180774109. The reversal of 180774100 is 1477081.

It can be written as a sum of positive squares in 12 ways, for example, as 10784656 + 169989444 = 3284^2 + 13038^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180774109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313012 + ... + 313588.

Almost surely, 2^180774100 is an apocalyptic number.

180774100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180774100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212471644).

180774100 is an abundant number, since it is smaller than the sum of its proper divisors (244169188).

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

180774100 is a wasteful number, since it uses less digits than its factorization.

180774100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 180774100 is about 13445.2259185184. The cubic root of 180774100 is about 565.4298553537.

The spelling of 180774100 in words is "one hundred eighty million, seven hundred seventy-four thousand, one hundred".