827826824 has 48 divisors (see below), whose sum is σ = 1709890560. Its totient is φ = 375452000.

The previous prime is 827826803. The next prime is 827826829. The reversal of 827826824 is 428628728.

It is not an unprimeable number, because it can be changed into a prime (827826829) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 718649 + ... + 719799.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^827826824 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 827826824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854945280).

827826824 is an abundant number, since it is smaller than the sum of its proper divisors (882063736).

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

827826824 is a wasteful number, since it uses less digits than its factorization.

827826824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1907 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The square root of 827826824 is about 28771.9798415055. The cubic root of 827826824 is about 938.9587171751.

The spelling of 827826824 in words is "eight hundred twenty-seven million, eight hundred twenty-six thousand, eight hundred twenty-four".