180940800 has 312 divisors, whose sum is σ = 650037760. Its totient is φ = 44236800.

The previous prime is 180940783. The next prime is 180940807. The reversal of 180940800 is 8049081.

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 not an unprimeable number, because it can be changed into a prime (180940807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5836785 + ... + 5836815.

Almost surely, 2^180940800 is an apocalyptic number.

180940800 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 180940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325018880).

180940800 is an abundant number, since it is smaller than the sum of its proper divisors (469096960).

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

180940800 is a wasteful number, since it uses less digits than its factorization.

180940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 180940800 is about 13451.4237164696. The cubic root of 180940800 is about 565.6036047990.

Adding to 180940800 its reverse (8049081), we get a palindrome (188989881).

The spelling of 180940800 in words is "one hundred eighty million, nine hundred forty thousand, eight hundred".