180000080 has 80 divisors (see below), whose sum is σ = 477250704. Its totient is φ = 62545920.

The previous prime is 180000061. The next prime is 180000089. The reversal of 180000080 is 80000081.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 868624 + 179131456 = 932^2 + 13384^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180000089) 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 15 ways as a sum of consecutive naturals, for example, 12590 + ... + 22770.

Almost surely, 2^180000080 is an apocalyptic number.

180000080 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 180000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238625352).

180000080 is an abundant number, since it is smaller than the sum of its proper divisors (297250624).

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

180000080 is a wasteful number, since it uses less digits than its factorization.

180000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10218 counting only the distinct ones).

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

The square root of 180000080 is about 13416.4108464224. The cubic root of 180000080 is about 564.6217009763.

Subtracting from 180000080 its reverse (80000081), we obtain a palindrome (99999999).

It can be divided in two parts, 1800000 and 80, that multiplied together give a square (144000000 = 12000²).

The spelling of 180000080 in words is "one hundred eighty million, eighty", and thus it is an aban number.