180364800 has 480 divisors, whose sum is σ = 755023104. Its totient is φ = 36864000.

The previous prime is 180364771. The next prime is 180364813. The reversal of 180364800 is 8463081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×180364800² = 65062922158080000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956770 + ... + 2956830.

Almost surely, 2^180364800 is an apocalyptic number.

180364800 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 180364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377511552).

180364800 is an abundant number, since it is smaller than the sum of its proper divisors (574658304).

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

180364800 is a wasteful number, since it uses less digits than its factorization.

180364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 180364800 is about 13429.9962769913. The cubic root of 180364800 is about 565.0027932094.

The spelling of 180364800 in words is "one hundred eighty million, three hundred sixty-four thousand, eight hundred".