827081856 has 192 divisors, whose sum is σ = 2593656000. Its totient is φ = 251983872.

The previous prime is 827081839. The next prime is 827081867. The reversal of 827081856 is 658180728.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634101 + ... + 635403.

It is an arithmetic number, because the mean of its divisors is an integer number (13508625).

Almost surely, 2^827081856 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 827081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296828000).

827081856 is an abundant number, since it is smaller than the sum of its proper divisors (1766574144).

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

827081856 is a wasteful number, since it uses less digits than its factorization.

827081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1356 counting only the distinct ones).

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

The square root of 827081856 is about 28759.0308598882. The cubic root of 827081856 is about 938.6769738165.

The spelling of 827081856 in words is "eight hundred twenty-seven million, eighty-one thousand, eight hundred fifty-six".