820479800 has 48 divisors (see below), whose sum is σ = 2180135760. Its totient is φ = 281306880.

The previous prime is 820479787. The next prime is 820479809. The reversal of 820479800 is 8974028.

820479800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820479809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291629 + ... + 294428.

It is an arithmetic number, because the mean of its divisors is an integer number (45419495).

Almost surely, 2^820479800 is an apocalyptic number.

It is an amenable number.

820479800 is an abundant number, since it is smaller than the sum of its proper divisors (1359655960).

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

820479800 is a wasteful number, since it uses less digits than its factorization.

820479800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586080 (or 586071 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 820479800 is about 28644.0185728190. The cubic root of 820479800 is about 936.1726828499.

The spelling of 820479800 in words is "eight hundred twenty million, four hundred seventy-nine thousand, eight hundred".