827708 has 36 divisors (see below), whose sum is σ = 1742832. Its totient is φ = 342720.

The previous prime is 827699. The next prime is 827719. The reversal of 827708 is 807728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7985 + ... + 8087.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2⁸²⁷⁷⁰⁸ 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 827708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871416).

827708 is an abundant number, since it is smaller than the sum of its proper divisors (915124).

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

827708 is a wasteful number, since it uses less digits than its factorization.

827708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 827708 is about 909.7845898893. The cubic root of 827708 is about 93.8913789836.

The spelling of 827708 in words is "eight hundred twenty-seven thousand, seven hundred eight".