830247180 has 288 divisors, whose sum is σ = 2895782400. Its totient is φ = 176698368.

The previous prime is 830247163. The next prime is 830247193. The reversal of 830247180 is 81742038.

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 95 ways as a sum of consecutive naturals, for example, 4971457 + ... + 4971623.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^830247180 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 830247180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200).

830247180 is an abundant number, since it is smaller than the sum of its proper divisors (2065535220).

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

830247180 is a wasteful number, since it uses less digits than its factorization.

830247180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 830247180 is about 28814.0101339609. The cubic root of 830247180 is about 939.8729192925.

The spelling of 830247180 in words is "eight hundred thirty million, two hundred forty-seven thousand, one hundred eighty".