827279336 has 72 divisors (see below), whose sum is σ = 1722339270. Its totient is φ = 372348288.

The previous prime is 827279333. The next prime is 827279339. The reversal of 827279336 is 633972728.

It is an interprime number because it is at equal distance from previous prime (827279333) and next prime (827279339).

It can be written as a sum of positive squares in 3 ways, for example, as 270602500 + 556676836 = 16450^2 + 23594^2 .

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (827279333) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2986430 + ... + 2986706.

Almost surely, 2^827279336 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 827279336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861169635).

827279336 is an abundant number, since it is smaller than the sum of its proper divisors (895059934).

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

827279336 is a wasteful number, since it uses less digits than its factorization.

827279336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 339 counting only the distinct ones).

The product of its digits is 762048, while the sum is 47.

The square root of 827279336 is about 28762.4640112769. The cubic root of 827279336 is about 938.7516762884.

The spelling of 827279336 in words is "eight hundred twenty-seven million, two hundred seventy-nine thousand, three hundred thirty-six".