827580 has 48 divisors (see below), whose sum is σ = 2497824. Its totient is φ = 203520.

The previous prime is 827549. The next prime is 827581. The reversal of 827580 is 85728.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827581) by changing a digit.

827580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (52038).

2⁸²⁷⁵⁸⁰ 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 827580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248912).

827580 is an abundant number, since it is smaller than the sum of its proper divisors (1670244).

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

827580 is a wasteful number, since it uses less digits than its factorization.

827580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 827580 is about 909.7142408471. The cubic root of 827580 is about 93.8865388242.

The spelling of 827580 in words is "eight hundred twenty-seven thousand, five hundred eighty".