180782820 has 48 divisors (see below), whose sum is σ = 562437120. Its totient is φ = 48208608.

The previous prime is 180782809. The next prime is 180782843. The reversal of 180782820 is 28287081.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 166852 + ... + 167931.

It is an arithmetic number, because the mean of its divisors is an integer number (11717440).

Almost surely, 2^180782820 is an apocalyptic number.

180782820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180782820 is an abundant number, since it is smaller than the sum of its proper divisors (381654300).

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

180782820 is a wasteful number, since it uses less digits than its factorization.

180782820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334801 (or 334793 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 180782820 is about 13445.5501932796. The cubic root of 180782820 is about 565.4389467539.

The spelling of 180782820 in words is "one hundred eighty million, seven hundred eighty-two thousand, eight hundred twenty".