820208020 has 24 divisors (see below), whose sum is σ = 1744243200. Its totient is φ = 323929632.

The previous prime is 820207987. The next prime is 820208023. The reversal of 820208020 is 20802028.

It is a junction number, because it is equal to n+sod(n) for n = 820207982 and 820208000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820208023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257980 + ... + 261139.

It is an arithmetic number, because the mean of its divisors is an integer number (72676800).

Almost surely, 2^820208020 is an apocalyptic number.

It is an amenable number.

820208020 is an abundant number, since it is smaller than the sum of its proper divisors (924035180).

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

820208020 is a wasteful number, since it uses less digits than its factorization.

820208020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519207 (or 519205 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 820208020 is about 28639.2740829791. The cubic root of 820208020 is about 936.0693038635.

The spelling of 820208020 in words is "eight hundred twenty million, two hundred eight thousand, twenty".