814308768 has 192 divisors, whose sum is σ = 2923441920. Its totient is φ = 214742016.

The previous prime is 814308739. The next prime is 814308791. The reversal of 814308768 is 867803418.

814308768 is a `hidden beast` number, since 81 + 430 + 87 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73446 + ... + 83802.

It is an arithmetic number, because the mean of its divisors is an integer number (15226260).

Almost surely, 2^814308768 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 814308768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461720960).

814308768 is an abundant number, since it is smaller than the sum of its proper divisors (2109133152).

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

814308768 is a wasteful number, since it uses less digits than its factorization.

814308768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 814308768 is about 28536.0958787288. The cubic root of 814308768 is about 933.8197115741.

The spelling of 814308768 in words is "eight hundred fourteen million, three hundred eight thousand, seven hundred sixty-eight".