808368768 has 128 divisors (see below), whose sum is σ = 2526336000. Its totient is φ = 253587456.

The previous prime is 808368763. The next prime is 808368791. The reversal of 808368768 is 867863808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (808368763) 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, 51873 + ... + 65631.

It is an arithmetic number, because the mean of its divisors is an integer number (19737000).

Almost surely, 2^808368768 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 808368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263168000).

808368768 is an abundant number, since it is smaller than the sum of its proper divisors (1717967232).

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

808368768 is a wasteful number, since it uses less digits than its factorization.

808368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13799 (or 13781 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 808368768 is about 28431.8266736416. The cubic root of 808368768 is about 931.5435760561.

The spelling of 808368768 in words is "eight hundred eight million, three hundred sixty-eight thousand, seven hundred sixty-eight".