808205120 has 112 divisors (see below), whose sum is σ = 1987448400. Its totient is φ = 312852480.

The previous prime is 808205117. The next prime is 808205137. The reversal of 808205120 is 21502808.

It can be written as a sum of positive squares in 8 ways, for example, as 98089216 + 710115904 = 9904^2 + 26648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 808205120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004346 + ... + 3004614.

It is an arithmetic number, because the mean of its divisors is an integer number (17745075).

Almost surely, 2^808205120 is an apocalyptic number.

808205120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993724200).

808205120 is an abundant number, since it is smaller than the sum of its proper divisors (1179243280).

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

808205120 is a wasteful number, since it uses less digits than its factorization.

808205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 808205120 is about 28428.9486263562. The cubic root of 808205120 is about 931.4807105516.

Adding to 808205120 its reverse (21502808), we get a palindrome (829707928).

The spelling of 808205120 in words is "eight hundred eight million, two hundred five thousand, one hundred twenty".