808114560 has 256 divisors, whose sum is σ = 2850059520. Its totient is φ = 193126400.

The previous prime is 808114543. The next prime is 808114561. The reversal of 808114560 is 65411808.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808114561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1752730 + ... + 1753190.

It is an arithmetic number, because the mean of its divisors is an integer number (11133045).

Almost surely, 2^808114560 is an apocalyptic number.

808114560 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 808114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).

808114560 is an abundant number, since it is smaller than the sum of its proper divisors (2041944960).

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

808114560 is a wasteful number, since it uses less digits than its factorization.

808114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 808114560 is about 28427.3558390505. The cubic root of 808114560 is about 931.4459182107.

The spelling of 808114560 in words is "eight hundred eight million, one hundred fourteen thousand, five hundred sixty".