827385760704 has 112 divisors (see below), whose sum is σ = 2199957122048. Its totient is φ = 274431725568.

The previous prime is 827385760699. The next prime is 827385760709. The reversal of 827385760704 is 407067583728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (827385760699) and next prime (827385760709).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827385760709) by changing a digit.

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, 158288139 + ... + 158293365.

It is an arithmetic number, because the mean of its divisors is an integer number (19642474304).

Almost surely, 2^827385760704 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 827385760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099978561024).

827385760704 is an abundant number, since it is smaller than the sum of its proper divisors (1372571361344).

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

827385760704 is a wasteful number, since it uses less digits than its factorization.

827385760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9152 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 827385760704 in words is "eight hundred twenty-seven billion, three hundred eighty-five million, seven hundred sixty thousand, seven hundred four".