827832120 has 32 divisors (see below), whose sum is σ = 2483496720. Its totient is φ = 220755200.

The previous prime is 827832113. The next prime is 827832121. The reversal of 827832120 is 21238728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827832121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3449181 + ... + 3449420.

Almost surely, 2^827832120 is an apocalyptic number.

It is an amenable number.

827832120 is an abundant number, since it is smaller than the sum of its proper divisors (1655664600).

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

827832120 is a wasteful number, since it uses less digits than its factorization.

827832120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898615 (or 6898611 counting only the distinct ones).

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

The square root of 827832120 is about 28772.0718753447. The cubic root of 827832120 is about 938.9607194920.

The spelling of 827832120 in words is "eight hundred twenty-seven million, eight hundred thirty-two thousand, one hundred twenty".