827882112 has 64 divisors (see below), whose sum is σ = 2219724000. Its totient is φ = 273368064.

The previous prime is 827882071. The next prime is 827882137. The reversal of 827882112 is 211288728.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31014 + ... + 51162.

Almost surely, 2^827882112 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 827882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109862000).

827882112 is an abundant number, since it is smaller than the sum of its proper divisors (1391841888).

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

827882112 is a wasteful number, since it uses less digits than its factorization.

827882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20273 (or 20261 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 827882112 is about 28772.9406213546. The cubic root of 827882112 is about 938.9796200952.

The spelling of 827882112 in words is "eight hundred twenty-seven million, eight hundred eighty-two thousand, one hundred twelve".