827256580 has 48 divisors (see below), whose sum is σ = 1833370560. Its totient is φ = 312681600.

The previous prime is 827256557. The next prime is 827256583. The reversal of 827256580 is 85652728.

827256580 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (827256583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157395 + ... + 162565.

It is an arithmetic number, because the mean of its divisors is an integer number (38195220).

Almost surely, 2^827256580 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 827256580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916685280).

827256580 is an abundant number, since it is smaller than the sum of its proper divisors (1006113980).

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

827256580 is a wasteful number, since it uses less digits than its factorization.

827256580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 827256580 is about 28762.0684235331. The cubic root of 827256580 is about 938.7430687850.

The spelling of 827256580 in words is "eight hundred twenty-seven million, two hundred fifty-six thousand, five hundred eighty".