180008000 has 56 divisors (see below), whose sum is σ = 445809624. Its totient is φ = 72000000.

The previous prime is 180007963. The next prime is 180008009. The reversal of 180008000 is 800081.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5345344 + 174662656 = 2312^2 + 13216^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 180008000.

It is not an unprimeable number, because it can be changed into a prime (180008009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3251 + ... + 19250.

Almost surely, 2^180008000 is an apocalyptic number.

180008000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180008000 is an abundant number, since it is smaller than the sum of its proper divisors (265801624).

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

180008000 is an equidigital number, since it uses as much as digits as its factorization.

180008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 180008000 is about 13416.7060040831. The cubic root of 180008000 is about 564.6299819694.

Adding to 180008000 its reverse (800081), we get a palindrome (180808081).

It can be divided in two parts, 18000 and 8000, that multiplied together give a square (144000000 = 12000²).

The spelling of 180008000 in words is "one hundred eighty million, eight thousand".