180505830 has 64 divisors (see below), whose sum is σ = 469421568. Its totient is φ = 44244480.

The previous prime is 180505807. The next prime is 180505837. The reversal of 180505830 is 38505081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180505837) 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 31 ways as a sum of consecutive naturals, for example, 17815 + ... + 26045.

It is an arithmetic number, because the mean of its divisors is an integer number (7334712).

Almost surely, 2^180505830 is an apocalyptic number.

180505830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180505830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234710784).

180505830 is an abundant number, since it is smaller than the sum of its proper divisors (288915738).

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

180505830 is a wasteful number, since it uses less digits than its factorization.

180505830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 180505830 is about 13435.2458109258. The cubic root of 180505830 is about 565.1500162903.

The spelling of 180505830 in words is "one hundred eighty million, five hundred five thousand, eight hundred thirty".