180806400 has 324 divisors, whose sum is σ = 670517848. Its totient is φ = 46448640.

The previous prime is 180806389. The next prime is 180806411. The reversal of 180806400 is 4608081.

180806400 is a `hidden beast` number, since 18 + 0 + 8 + 0 + 640 + 0 = 666.

180806400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180806389) and next prime (180806411).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476764 + ... + 2476836.

Almost surely, 2^180806400 is an apocalyptic number.

180806400 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 180806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335258924).

180806400 is an abundant number, since it is smaller than the sum of its proper divisors (489711448).

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

180806400 is a wasteful number, since it uses less digits than its factorization.

180806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180806400 is about 13446.4270347182. The cubic root of 180806400 is about 565.4635296037.

The spelling of 180806400 in words is "one hundred eighty million, eight hundred six thousand, four hundred".