180100800 has 336 divisors, whose sum is σ = 718108800. Its totient is φ = 43545600.

The previous prime is 180100769. The next prime is 180100807. The reversal of 180100800 is 8001081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (180100807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 475011 + ... + 475389.

Almost surely, 2^180100800 is an apocalyptic number.

180100800 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 180100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359054400).

180100800 is an abundant number, since it is smaller than the sum of its proper divisors (538008000).

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

180100800 is a wasteful number, since it uses less digits than its factorization.

180100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 180100800 is about 13420.1639334250. The cubic root of 180100800 is about 564.7269936960.

Adding to 180100800 its reverse (8001081), we get a palindrome (188101881).

The spelling of 180100800 in words is "one hundred eighty million, one hundred thousand, eight hundred".