827779572 has 72 divisors (see below), whose sum is σ = 2236033800. Its totient is φ = 257292288.

The previous prime is 827779571. The next prime is 827779583. The reversal of 827779572 is 275977728.

It can be written as a sum of positive squares in 4 ways, for example, as 87721956 + 740057616 = 9366^2 + 27204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827779571) 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 23 ways as a sum of consecutive naturals, for example, 60504 + ... + 72912.

It is an arithmetic number, because the mean of its divisors is an integer number (31056025).

Almost surely, 2^827779572 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 827779572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118016900).

827779572 is an abundant number, since it is smaller than the sum of its proper divisors (1408254228).

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

827779572 is a wasteful number, since it uses less digits than its factorization.

827779572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12540 counting only the distinct ones).

The product of its digits is 3457440, while the sum is 54.

The square root of 827779572 is about 28771.1586836540. The cubic root of 827779572 is about 938.9408517150.

The spelling of 827779572 in words is "eight hundred twenty-seven million, seven hundred seventy-nine thousand, five hundred seventy-two".