808006538240 has 352 divisors, whose sum is σ = 2189565001728. Its totient is φ = 283447296000.

The previous prime is 808006538201. The next prime is 808006538243. The reversal of 808006538240 is 42835600808.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 808006538191 and 808006538200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808006538243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815344145 + ... + 815345135.

Almost surely, 2^808006538240 is an apocalyptic number.

808006538240 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 808006538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094782500864).

808006538240 is an abundant number, since it is smaller than the sum of its proper divisors (1381558463488).

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

808006538240 is a wasteful number, since it uses less digits than its factorization.

808006538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 808006538240 in words is "eight hundred eight billion, six million, five hundred thirty-eight thousand, two hundred forty".