830009012 has 48 divisors (see below), whose sum is σ = 1713414528. Its totient is φ = 344373120.

The previous prime is 830009009. The next prime is 830009021. The reversal of 830009012 is 210900038.

It is a super-2 number, since 2×830009012² = 1377829920002432288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216698 + ... + 220494.

It is an arithmetic number, because the mean of its divisors is an integer number (35696136).

Almost surely, 2^830009012 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 830009012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856707264).

830009012 is an abundant number, since it is smaller than the sum of its proper divisors (883405516).

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

830009012 is a wasteful number, since it uses less digits than its factorization.

830009012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 830009012 is about 28809.8769868946. The cubic root of 830009012 is about 939.7830388059.

The spelling of 830009012 in words is "eight hundred thirty million, nine thousand, twelve".