180255768 has 128 divisors (see below), whose sum is σ = 567889920. Its totient is φ = 46316160.

The previous prime is 180255767. The next prime is 180255773. The reversal of 180255768 is 867552081.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180255767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189871 + ... + 190817.

It is an arithmetic number, because the mean of its divisors is an integer number (4436640).

Almost surely, 2^180255768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180255768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283944960).

180255768 is an abundant number, since it is smaller than the sum of its proper divisors (387634152).

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

180255768 is a wasteful number, since it uses less digits than its factorization.

180255768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 180255768 is about 13425.9363919244. The cubic root of 180255768 is about 564.8889206541. Note that the first 3 decimals are identical.

The spelling of 180255768 in words is "one hundred eighty million, two hundred fifty-five thousand, seven hundred sixty-eight".