827820 has 120 divisors (see below), whose sum is σ = 3008544. Its totient is φ = 186624.

The previous prime is 827809. The next prime is 827821. The reversal of 827820 is 28728.

827820 is nontrivially palindromic in base 16.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 827820.

It is not an unprimeable number, because it can be changed into a prime (827821) 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, 11304 + ... + 11376.

2⁸²⁷⁸²⁰ 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 827820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504272).

827820 is an abundant number, since it is smaller than the sum of its proper divisors (2180724).

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

827820 is a wasteful number, since it uses less digits than its factorization.

827820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 827820 is about 909.8461408392. The cubic root of 827820 is about 93.8956137138.

The spelling of 827820 in words is "eight hundred twenty-seven thousand, eight hundred twenty".