768149568 has 140 divisors (see below), whose sum is σ = 2310213312. Its totient is φ = 252322560.

The previous prime is 768149521. The next prime is 768149579. The reversal of 768149568 is 865941867.

768149568 is a `hidden beast` number, since 7 + 68 + 14 + 9 + 568 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367021 + ... + 369107.

Almost surely, 2^768149568 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 768149568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155106656).

768149568 is an abundant number, since it is smaller than the sum of its proper divisors (1542063744).

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

768149568 is a wasteful number, since it uses less digits than its factorization.

768149568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2163 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 768149568 is about 27715.5113248881. The cubic root of 768149568 is about 915.8308390102.

The spelling of 768149568 in words is "seven hundred sixty-eight million, one hundred forty-nine thousand, five hundred sixty-eight".