827736 has 64 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 217728.

The previous prime is 827719. The next prime is 827737. The reversal of 827736 is 637728.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 827697 and 827706.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827736.

It is not an unprimeable number, because it can be changed into a prime (827737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (39900).

2⁸²⁷⁷³⁶ 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 827736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

827736 is an abundant number, since it is smaller than the sum of its proper divisors (1725864).

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

827736 is a wasteful number, since it uses less digits than its factorization.

827736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 827736 is about 909.7999780171. The cubic root of 827736 is about 93.8924377020.

The spelling of 827736 in words is "eight hundred twenty-seven thousand, seven hundred thirty-six".