827840 has 56 divisors (see below), whose sum is σ = 2133600. Its totient is φ = 304128.

The previous prime is 827837. The next prime is 827843. The reversal of 827840 is 48728.

It is an interprime number because it is at equal distance from previous prime (827837) and next prime (827843).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4061 + ... + 4259.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2⁸²⁷⁸⁴⁰ is an apocalyptic number.

827840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066800).

827840 is an abundant number, since it is smaller than the sum of its proper divisors (1305760).

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

827840 is a wasteful number, since it uses less digits than its factorization.

827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 827840 is about 909.8571316421. The cubic root of 827840 is about 93.8963698754.

The spelling of 827840 in words is "eight hundred twenty-seven thousand, eight hundred forty".