827796860 has 48 divisors (see below), whose sum is σ = 1910950272. Its totient is φ = 298708800.

The previous prime is 827796829. The next prime is 827796863. The reversal of 827796860 is 68697728.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827796863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14459 + ... + 43181.

It is an arithmetic number, because the mean of its divisors is an integer number (39811464).

Almost surely, 2^827796860 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 827796860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955475136).

827796860 is an abundant number, since it is smaller than the sum of its proper divisors (1083153412).

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

827796860 is a wasteful number, since it uses less digits than its factorization.

827796860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28874 (or 28872 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 53.

The square root of 827796860 is about 28771.4591218450. The cubic root of 827796860 is about 938.9473881960.

The spelling of 827796860 in words is "eight hundred twenty-seven million, seven hundred ninety-six thousand, eight hundred sixty".