180768393 has 12 divisors (see below), whose sum is σ = 281195460. Its totient is φ = 111242016.

The previous prime is 180768383. The next prime is 180768433. The reversal of 180768393 is 393867081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 138933369 = 6468^2 + 11787^2 .

It is not a de Polignac number, because 180768393 - 2⁴ = 180768377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180768383) 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 11 ways as a sum of consecutive naturals, for example, 772398 + ... + 772631.

It is an arithmetic number, because the mean of its divisors is an integer number (23432955).

Almost surely, 2^180768393 is an apocalyptic number.

180768393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

180768393 is a deficient number, since it is larger than the sum of its proper divisors (100427067).

180768393 is a wasteful number, since it uses less digits than its factorization.

180768393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545048 (or 1545045 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 180768393 is about 13445.0136853779. The cubic root of 180768393 is about 565.4239051242.

The spelling of 180768393 in words is "one hundred eighty million, seven hundred sixty-eight thousand, three hundred ninety-three".