827651808 has 72 divisors (see below), whose sum is σ = 2385937008. Its totient is φ = 272097792.

The previous prime is 827651791. The next prime is 827651819. The reversal of 827651808 is 808156728.

827651808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1341 + ... + 40707.

It is an arithmetic number, because the mean of its divisors is an integer number (33138014).

Almost surely, 2^827651808 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 827651808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192968504).

827651808 is an abundant number, since it is smaller than the sum of its proper divisors (1558285200).

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

827651808 is a wasteful number, since it uses less digits than its factorization.

827651808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39456 (or 39445 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 827651808 is about 28768.9382494384. The cubic root of 827651808 is about 938.8925421506.

The spelling of 827651808 in words is "eight hundred twenty-seven million, six hundred fifty-one thousand, eight hundred eight".