827959880 has 64 divisors (see below), whose sum is σ = 2055196800. Its totient is φ = 297679360.

The previous prime is 827959879. The next prime is 827959907. The reversal of 827959880 is 88959728.

827959880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×827959880² = 1371035125779228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28589 + ... + 49731.

It is an arithmetic number, because the mean of its divisors is an integer number (32112450).

Almost surely, 2^827959880 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 827959880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027598400).

827959880 is an abundant number, since it is smaller than the sum of its proper divisors (1227236920).

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

827959880 is a wasteful number, since it uses less digits than its factorization.

827959880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21254 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 56.

The square root of 827959880 is about 28774.2919982404. The cubic root of 827959880 is about 939.0090205295.

The spelling of 827959880 in words is "eight hundred twenty-seven million, nine hundred fifty-nine thousand, eight hundred eighty".