827004399 has 64 divisors (see below), whose sum is σ = 1287014400. Its totient is φ = 468357120.

The previous prime is 827004359. The next prime is 827004413. The reversal of 827004399 is 993400728.

It is not a de Polignac number, because 827004399 - 2⁹ = 827003887 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827004399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827004359) 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 63 ways as a sum of consecutive naturals, for example, 4155702 + ... + 4155900.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2^827004399 is an apocalyptic number.

827004399 is a deficient number, since it is larger than the sum of its proper divisors (460010001).

827004399 is a wasteful number, since it uses less digits than its factorization.

827004399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 827004399 is about 28757.6841731041. The cubic root of 827004399 is about 938.6476702388.

The spelling of 827004399 in words is "eight hundred twenty-seven million, four thousand, three hundred ninety-nine".