180082000 has 160 divisors (see below), whose sum is σ = 524609280. Its totient is φ = 58406400.

The previous prime is 180081991. The next prime is 180082009. The reversal of 180082000 is 280081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180081991) and next prime (180082009).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180082009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265662 + ... + 266338.

It is an arithmetic number, because the mean of its divisors is an integer number (3278808).

Almost surely, 2^180082000 is an apocalyptic number.

180082000 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 180082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262304640).

180082000 is an abundant number, since it is smaller than the sum of its proper divisors (344527280).

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

180082000 is a wasteful number, since it uses less digits than its factorization.

180082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 180082000 is about 13419.4634766074. The cubic root of 180082000 is about 564.7073431505.

The spelling of 180082000 in words is "one hundred eighty million, eighty-two thousand".