180772768 has 48 divisors (see below), whose sum is σ = 394662240. Its totient is φ = 80812800.

The previous prime is 180772751. The next prime is 180772807. The reversal of 180772768 is 867277081.

180772768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17263 + ... + 25681.

It is an arithmetic number, because the mean of its divisors is an integer number (8222130).

Almost surely, 2^180772768 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 180772768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197331120).

180772768 is an abundant number, since it is smaller than the sum of its proper divisors (213889472).

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

180772768 is a wasteful number, since it uses less digits than its factorization.

180772768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8501 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 46.

The square root of 180772768 is about 13445.1763841163. The cubic root of 180772768 is about 565.4284665958.

The spelling of 180772768 in words is "one hundred eighty million, seven hundred seventy-two thousand, seven hundred sixty-eight".