830972322180 has 1728 divisors, whose sum is σ = 3632006117376. Its totient is φ = 150958080000.

The previous prime is 830972322179. The next prime is 830972322209. The reversal of 830972322180 is 81223279038.

830972322180 is a `hidden beast` number, since 8 + 309 + 7 + 2 + 322 + 18 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2072249980 + ... + 2072250380.

It is an arithmetic number, because the mean of its divisors is an integer number (2101855392).

Almost surely, 2^830972322180 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 830972322180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816003058688).

830972322180 is an abundant number, since it is smaller than the sum of its proper divisors (2801033795196).

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

830972322180 is a wasteful number, since it uses less digits than its factorization.

830972322180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 830972322180 in words is "eight hundred thirty billion, nine hundred seventy-two million, three hundred twenty-two thousand, one hundred eighty".