826200 has 144 divisors (see below), whose sum is σ = 3046680. Its totient is φ = 207360.

The previous prime is 826193. The next prime is 826201. The reversal of 826200 is 2628.

Added to its reverse (2628) it gives a triangular number (828828 = T₁₂₈₇).

826200 = T₃₅ + T₃₆ + ... + T₁₇₀.

826200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 826200.

It is not an unprimeable number, because it can be changed into a prime (826201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48592 + ... + 48608.

2⁸²⁶²⁰⁰ 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 826200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340).

826200 is an abundant number, since it is smaller than the sum of its proper divisors (2220480).

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

826200 is a wasteful number, since it uses less digits than its factorization.

826200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 826200 is about 908.9554444526. The cubic root of 826200 is about 93.8343241313.

Adding to 826200 its reverse (2628), we get a palindrome (828828).

The spelling of 826200 in words is "eight hundred twenty-six thousand, two hundred".