808245285120 has 1728 divisors, whose sum is σ = 3626090012160. Its totient is φ = 166864748544.

The previous prime is 808245285079. The next prime is 808245285139. The reversal of 808245285120 is 21582542808.

808245285120 is a `hidden beast` number, since 8 + 0 + 8 + 245 + 285 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2166877254 + ... + 2166877626.

It is an arithmetic number, because the mean of its divisors is an integer number (2098431720).

Almost surely, 2^808245285120 is an apocalyptic number.

808245285120 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 808245285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813045006080).

808245285120 is an abundant number, since it is smaller than the sum of its proper divisors (2817844727040).

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

808245285120 is a wasteful number, since it uses less digits than its factorization.

808245285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 808245285120 in words is "eight hundred eight billion, two hundred forty-five million, two hundred eighty-five thousand, one hundred twenty".