180073920 has 224 divisors, whose sum is σ = 630862848. Its totient is φ = 43241472.

The previous prime is 180073903. The next prime is 180073939. The reversal of 180073920 is 29370081.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586407 + ... + 586713.

It is an arithmetic number, because the mean of its divisors is an integer number (2816352).

Almost surely, 2^180073920 is an apocalyptic number.

180073920 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 180073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315431424).

180073920 is an abundant number, since it is smaller than the sum of its proper divisors (450788928).

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

180073920 is a wasteful number, since it uses less digits than its factorization.

180073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 180073920 is about 13419.1624179753. The cubic root of 180073920 is about 564.6988971767.

The spelling of 180073920 in words is "one hundred eighty million, seventy-three thousand, nine hundred twenty".