180420075 has 108 divisors (see below), whose sum is σ = 372224440. Its totient is φ = 85615200.

The previous prime is 180420061. The next prime is 180420089. The reversal of 180420075 is 570024081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (180420061) and next prime (180420089).

It is not a de Polignac number, because 180420075 - 2⁸ = 180419819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3838702 + ... + 3838748.

Almost surely, 2^180420075 is an apocalyptic number.

180420075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

180420075 is an abundant number, since it is smaller than the sum of its proper divisors (191804365).

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

180420075 is a wasteful number, since it uses less digits than its factorization.

180420075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180420075 is about 13432.0540126966. The cubic root of 180420075 is about 565.0605046542.

Multiplying 180420075 by its sum of digits (27), we get a square (4871342025 = 69795²).

180420075 divided by its sum of digits (27) gives a square (6682225 = 2585²).

The spelling of 180420075 in words is "one hundred eighty million, four hundred twenty thousand, seventy-five".