827900 has 36 divisors (see below), whose sum is σ = 1906128. Its totient is φ = 311040.

The previous prime is 827899. The next prime is 827903. The reversal of 827900 is 9728.

It is a self number, because there is not a number n which added to its sum of digits gives 827900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1457 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (52948).

2⁸²⁷⁹⁰⁰ 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 827900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953064).

827900 is an abundant number, since it is smaller than the sum of its proper divisors (1078228).

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

827900 is a wasteful number, since it uses less digits than its factorization.

827900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 827900 is about 909.8901032542. The cubic root of 827900 is about 93.8986382872.

The spelling of 827900 in words is "eight hundred twenty-seven thousand, nine hundred".