820430208 has 192 divisors, whose sum is σ = 2637944400. Its totient is φ = 252315648.

The previous prime is 820430201. The next prime is 820430227. The reversal of 820430208 is 802034028.

820430208 is a `hidden beast` number, since 8 + 20 + 430 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820430201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403338 + ... + 405366.

Almost surely, 2^820430208 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 820430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318972200).

820430208 is an abundant number, since it is smaller than the sum of its proper divisors (1817514192).

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

820430208 is a wasteful number, since it uses less digits than its factorization.

820430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 820430208 is about 28643.1528990787. The cubic root of 820430208 is about 936.1538208738.

The spelling of 820430208 in words is "eight hundred twenty million, four hundred thirty thousand, two hundred eight".