180080000 has 80 divisors (see below), whose sum is σ = 448497060. Its totient is φ = 72000000.

The previous prime is 180079973. The next prime is 180080009. The reversal of 180080000 is 80081.

It is a happy number.

180080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (180080009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78875 + ... + 81125.

Almost surely, 2^180080000 is an apocalyptic number.

180080000 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 180080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224248530).

180080000 is an abundant number, since it is smaller than the sum of its proper divisors (268417060).

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

180080000 is an frugal number, since it uses more digits than its factorization.

180080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2258 counting only the distinct ones).

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

The square root of 180080000 is about 13419.3889577730. The cubic root of 180080000 is about 564.7052525864.

It can be divided in two parts, 1800 and 80000, that multiplied together give a square (144000000 = 12000²).

The spelling of 180080000 in words is "one hundred eighty million, eighty thousand".