826280 has 64 divisors (see below), whose sum is σ = 2298240. Its totient is φ = 260352.

The previous prime is 826271. The next prime is 826283. The reversal of 826280 is 82628.

826280 = T₂₃₉ + T₂₄₀ + ... + T₂₆₄.

826280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 909²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (826283) by changing a digit.

826280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3527 + ... + 3753.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2⁸²⁶²⁸⁰ 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 826280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149120).

826280 is an abundant number, since it is smaller than the sum of its proper divisors (1471960).

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

826280 is a wasteful number, since it uses less digits than its factorization.

826280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 826280 is about 908.9994499448. Note that the first 3 decimals coincide. The cubic root of 826280 is about 93.8373526569.

The spelling of 826280 in words is "eight hundred twenty-six thousand, two hundred eighty".