820306845 has 80 divisors (see below), whose sum is σ = 1554360192. Its totient is φ = 413043840.

The previous prime is 820306819. The next prime is 820306867. The reversal of 820306845 is 548603028.

It is not a de Polignac number, because 820306845 - 2⁵ = 820306813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 772615 + ... + 773675.

Almost surely, 2^820306845 is an apocalyptic number.

It is an amenable number.

820306845 is a deficient number, since it is larger than the sum of its proper divisors (734053347).

820306845 is a wasteful number, since it uses less digits than its factorization.

820306845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 820306845 is about 28640.9993715303. Note that the first 3 decimals coincide. The cubic root of 820306845 is about 936.1068973079.

Adding to 820306845 its sum of digits (36), we get a square (820306881 = 28641²).

The spelling of 820306845 in words is "eight hundred twenty million, three hundred six thousand, eight hundred forty-five".