827320 has 64 divisors (see below), whose sum is σ = 2106720. Its totient is φ = 290304.

The previous prime is 827311. The next prime is 827327. The reversal of 827320 is 23728.

827320 = T₁₁₁ + T₁₁₂ + ... + T₁₈₄.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 827291 and 827300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827327) 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, 19219 + ... + 19261.

2⁸²⁷³²⁰ 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 827320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053360).

827320 is an abundant number, since it is smaller than the sum of its proper divisors (1279400).

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

827320 is a wasteful number, since it uses less digits than its factorization.

827320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 827320 is about 909.5713276044. The cubic root of 827320 is about 93.8767057136.

The spelling of 827320 in words is "eight hundred twenty-seven thousand, three hundred twenty".