827380 has 24 divisors (see below), whose sum is σ = 1781640. Its totient is φ = 322560.

The previous prime is 827369. The next prime is 827389. The reversal of 827380 is 83728.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2916 + 824464 = 54^2 + 908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827389) by changing a digit.

827380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (74235).

2⁸²⁷³⁸⁰ 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 827380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890820).

827380 is an abundant number, since it is smaller than the sum of its proper divisors (954260).

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

827380 is a wasteful number, since it uses less digits than its factorization.

827380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 827380 is about 909.6043095764. The cubic root of 827380 is about 93.8789750758.

The spelling of 827380 in words is "eight hundred twenty-seven thousand, three hundred eighty".