827810336 has 48 divisors (see below), whose sum is σ = 1727150040. Its totient is φ = 389867520.

The previous prime is 827810327. The next prime is 827810407. The reversal of 827810336 is 633018728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 694638736 + 133171600 = 26356^2 + 11540^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 827810336.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27170 + ... + 48926.

Almost surely, 2^827810336 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 827810336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863575020).

827810336 is an abundant number, since it is smaller than the sum of its proper divisors (899339704).

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

827810336 is a wasteful number, since it uses less digits than its factorization.

827810336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 827810336 is about 28771.6933113086. The cubic root of 827810336 is about 938.9524833214.

The spelling of 827810336 in words is "eight hundred twenty-seven million, eight hundred ten thousand, three hundred thirty-six".