820804226 has 72 divisors (see below), whose sum is σ = 1452671220. Its totient is φ = 347276160.

The previous prime is 820804223. The next prime is 820804279. The reversal of 820804226 is 622408028.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 676780225 + 144024001 = 26015^2 + 12001^2 .

It is a junction number, because it is equal to n+sod(n) for n = 820804192 and 820804201.

It is not an unprimeable number, because it can be changed into a prime (820804223) 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, 7530260 + ... + 7530368.

Almost surely, 2^820804226 is an apocalyptic number.

820804226 is a deficient number, since it is larger than the sum of its proper divisors (631866994).

820804226 is a wasteful number, since it uses less digits than its factorization.

820804226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 820804226 is about 28649.6810802494. The cubic root of 820804226 is about 936.2960573016.

The spelling of 820804226 in words is "eight hundred twenty million, eight hundred four thousand, two hundred twenty-six".