73800180 has 96 divisors (see below), whose sum is σ = 241718400. Its totient is φ = 18641664.

The previous prime is 73800151. The next prime is 73800203. The reversal of 73800180 is 8100837.

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

It is a congruent number.

It is an unprimeable number.

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, 6664 + ... + 13856.

It is an arithmetic number, because the mean of its divisors is an integer number (2517900).

Almost surely, 2^73800180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73800180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120859200).

73800180 is an abundant number, since it is smaller than the sum of its proper divisors (167918220).

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

73800180 is a wasteful number, since it uses less digits than its factorization.

73800180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 73800180 is about 8590.7031144139. The cubic root of 73800180 is about 419.4554166326.

The spelling of 73800180 in words is "seventy-three million, eight hundred thousand, one hundred eighty".