180830772 has 48 divisors (see below), whose sum is σ = 474492480. Its totient is φ = 59547744.

The previous prime is 180830737. The next prime is 180830827. The reversal of 180830772 is 277038081.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123 + ... + 19050.

It is an arithmetic number, because the mean of its divisors is an integer number (9885260).

Almost surely, 2^180830772 is an apocalyptic number.

180830772 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 180830772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237246240).

180830772 is an abundant number, since it is smaller than the sum of its proper divisors (293661708).

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

180830772 is a wasteful number, since it uses less digits than its factorization.

180830772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20269 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 180830772 is about 13447.3332672318. Note that the first 3 decimals coincide. The cubic root of 180830772 is about 565.4889358909.

The spelling of 180830772 in words is "one hundred eighty million, eight hundred thirty thousand, seven hundred seventy-two".