808000480032 has 96 divisors (see below), whose sum is σ = 2143331858304. Its totient is φ = 266499072000.

The previous prime is 808000480009. The next prime is 808000480033. The reversal of 808000480032 is 230084000808.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 808000479975 and 808000480002.

It is not an unprimeable number, because it can be changed into a prime (808000480033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75431157 + ... + 75441867.

It is an arithmetic number, because the mean of its divisors is an integer number (22326373524).

Almost surely, 2^808000480032 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 808000480032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071665929152).

808000480032 is an abundant number, since it is smaller than the sum of its proper divisors (1335331378272).

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

808000480032 is a wasteful number, since it uses less digits than its factorization.

808000480032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922 (or 18914 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 808000480032 in words is "eight hundred eight billion, four hundred eighty thousand, thirty-two".