827860704 has 240 divisors, whose sum is σ = 2597414400. Its totient is φ = 229996800.

The previous prime is 827860703. The next prime is 827860711. The reversal of 827860704 is 407068728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827860703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26705169 + ... + 26705199.

It is an arithmetic number, because the mean of its divisors is an integer number (10822560).

Almost surely, 2^827860704 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 827860704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298707200).

827860704 is an abundant number, since it is smaller than the sum of its proper divisors (1769553696).

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

827860704 is a wasteful number, since it uses less digits than its factorization.

827860704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 827860704 is about 28772.5686027508. The cubic root of 827860704 is about 938.9715264111.

The spelling of 827860704 in words is "eight hundred twenty-seven million, eight hundred sixty thousand, seven hundred four".