180406080 has 168 divisors, whose sum is σ = 637669032. Its totient is φ = 46780416.

The previous prime is 180406073. The next prime is 180406087. The reversal of 180406080 is 80604081.

180406080 is a `hidden beast` number, since 18 + 0 + 40 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (180406073) and next prime (180406087).

It can be written as a sum of positive squares in 4 ways, for example, as 39841344 + 140564736 = 6312^2 + 11856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180406087) 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, 105714 + ... + 107406.

It is an arithmetic number, because the mean of its divisors is an integer number (3795649).

Almost surely, 2^180406080 is an apocalyptic number.

180406080 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 180406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318834516).

180406080 is an abundant number, since it is smaller than the sum of its proper divisors (457262952).

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

180406080 is a wasteful number, since it uses less digits than its factorization.

180406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180406080 is about 13431.5330472735. The cubic root of 180406080 is about 565.0458938886.

The spelling of 180406080 in words is "one hundred eighty million, four hundred six thousand, eighty".