827795166 has 64 divisors (see below), whose sum is σ = 1861574400. Its totient is φ = 243219200.

The previous prime is 827795153. The next prime is 827795203. The reversal of 827795166 is 661597728.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 483520 + ... + 485228.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 2^827795166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827795166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930787200).

827795166 is an abundant number, since it is smaller than the sum of its proper divisors (1033779234).

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

827795166 is a wasteful number, since it uses less digits than its factorization.

827795166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945.

The product of its digits is 1270080, while the sum is 51.

The square root of 827795166 is about 28771.4296829337. The cubic root of 827795166 is about 938.9467477096.

The spelling of 827795166 in words is "eight hundred twenty-seven million, seven hundred ninety-five thousand, one hundred sixty-six".