827356704 has 96 divisors (see below), whose sum is σ = 2245763520. Its totient is φ = 266499072.

The previous prime is 827356657. The next prime is 827356763. The reversal of 827356704 is 407653728.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578262 + ... + 579690.

It is an arithmetic number, because the mean of its divisors is an integer number (23393370).

Almost surely, 2^827356704 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 827356704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122881760).

827356704 is an abundant number, since it is smaller than the sum of its proper divisors (1418406816).

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

827356704 is a wasteful number, since it uses less digits than its factorization.

827356704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 827356704 is about 28763.8089271918. The cubic root of 827356704 is about 938.7809397115.

The spelling of 827356704 in words is "eight hundred twenty-seven million, three hundred fifty-six thousand, seven hundred four".