827446420 has 96 divisors (see below), whose sum is σ = 1882653696. Its totient is φ = 304819200.

The previous prime is 827446381. The next prime is 827446427. The reversal of 827446420 is 24644728.

It is a self number, because there is not a number n which added to its sum of digits gives 827446420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827446427) 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 31 ways as a sum of consecutive naturals, for example, 1092682 + ... + 1093438.

It is an arithmetic number, because the mean of its divisors is an integer number (19610976).

Almost surely, 2^827446420 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 827446420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941326848).

827446420 is an abundant number, since it is smaller than the sum of its proper divisors (1055207276).

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

827446420 is a wasteful number, since it uses less digits than its factorization.

827446420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 827446420 is about 28765.3684141191. The cubic root of 827446420 is about 938.8148713181.

The spelling of 827446420 in words is "eight hundred twenty-seven million, four hundred forty-six thousand, four hundred twenty".