808116756480 has 1344 divisors, whose sum is σ = 3247721882496. Its totient is φ = 192695500800.

The previous prime is 808116756439. The next prime is 808116756487. The reversal of 808116756480 is 84657611808.

It is a happy number.

808116756480 is a `hidden beast` number, since 8 + 0 + 8 + 11 + 67 + 564 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808116756487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13247815650 + ... + 13247815710.

It is an arithmetic number, because the mean of its divisors is an integer number (2416459734).

Almost surely, 2^808116756480 is an apocalyptic number.

808116756480 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 808116756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623860941248).

808116756480 is an abundant number, since it is smaller than the sum of its proper divisors (2439605126016).

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

808116756480 is an frugal number, since it uses more digits than its factorization.

808116756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 808116756480 in words is "eight hundred eight billion, one hundred sixteen million, seven hundred fifty-six thousand, four hundred eighty".