808219828089720 has 768 divisors, whose sum is σ = 2878289557678080. Its totient is φ = 196112470118400.

The previous prime is 808219828089673. The next prime is 808219828089733. The reversal of 808219828089720 is 27980828912808.

808219828089720 is a `hidden beast` number, since 8 + 0 + 82 + 198 + 280 + 89 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3120759835 + ... + 3121018805.

It is an arithmetic number, because the mean of its divisors is an integer number (3747772861560).

Almost surely, 2^{808219828089720} 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 808219828089720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439144778839040).

808219828089720 is an abundant number, since it is smaller than the sum of its proper divisors (2070069729588360).

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

808219828089720 is a wasteful number, since it uses less digits than its factorization.

808219828089720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259276 (or 259269 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 808219828089720 in words is "eight hundred eight trillion, two hundred nineteen billion, eight hundred twenty-eight million, eighty-nine thousand, seven hundred twenty".