826900 has 18 divisors (see below), whose sum is σ = 1794590. Its totient is φ = 330720.

The previous prime is 826883. The next prime is 826907. The reversal of 826900 is 9628.

It can be written as a sum of positive squares in 3 ways, for example, as 190096 + 636804 = 436^2 + 798^2 .

It is a super-2 number, since 2×826900² = 1367527220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826907) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4035 + ... + 4234.

2⁸²⁶⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

826900 is an abundant number, since it is smaller than the sum of its proper divisors (967690).

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

826900 is a wasteful number, since it uses less digits than its factorization.

826900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 826900 is about 909.3404203047. The cubic root of 826900 is about 93.8608171053.

The spelling of 826900 in words is "eight hundred twenty-six thousand, nine hundred".