180258880 has 56 divisors (see below), whose sum is σ = 430837848. Its totient is φ = 71835648.

The previous prime is 180258863. The next prime is 180258899. The reversal of 180258880 is 88852081.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 179774464 = 696^2 + 13408^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100552 + ... + 102328.

It is an arithmetic number, because the mean of its divisors is an integer number (7693533).

Almost surely, 2^180258880 is an apocalyptic number.

180258880 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 180258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215418924).

180258880 is an abundant number, since it is smaller than the sum of its proper divisors (250578968).

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

180258880 is a wasteful number, since it uses less digits than its factorization.

180258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 40.

The square root of 180258880 is about 13426.0522865063. The cubic root of 180258880 is about 564.8921714501.

The spelling of 180258880 in words is "one hundred eighty million, two hundred fifty-eight thousand, eight hundred eighty".