180785052 has 72 divisors (see below), whose sum is σ = 525837312. Its totient is φ = 51300000.

The previous prime is 180785047. The next prime is 180785069. The reversal of 180785052 is 250587081.

180785052 is a `hidden beast` number, since 1 + 80 + 78 + 505 + 2 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 180784998 and 180785016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35677 + ... + 40427.

It is an arithmetic number, because the mean of its divisors is an integer number (7303296).

Almost surely, 2^180785052 is an apocalyptic number.

180785052 is a gapful number since it is divisible by the number (12) 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 180785052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262918656).

180785052 is an abundant number, since it is smaller than the sum of its proper divisors (345052260).

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

180785052 is a wasteful number, since it uses less digits than its factorization.

180785052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 180785052 is about 13445.6331944613. The cubic root of 180785052 is about 565.4412737718.

The spelling of 180785052 in words is "one hundred eighty million, seven hundred eighty-five thousand, fifty-two".