827802140 has 72 divisors (see below), whose sum is σ = 1919662416. Its totient is φ = 299847680.

The previous prime is 827802139. The next prime is 827802181. The reversal of 827802140 is 41208728.

It is a junction number, because it is equal to n+sod(n) for n = 827802097 and 827802106.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3220892 + ... + 3221148.

It is an arithmetic number, because the mean of its divisors is an integer number (26661978).

Almost surely, 2^827802140 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 827802140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959831208).

827802140 is an abundant number, since it is smaller than the sum of its proper divisors (1091860276).

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

827802140 is an equidigital number, since it uses as much as digits as its factorization.

827802140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 827802140 is about 28771.5508792974. The cubic root of 827802140 is about 938.9493845117.

The spelling of 827802140 in words is "eight hundred twenty-seven million, eight hundred two thousand, one hundred forty".