768562668 has 120 divisors (see below), whose sum is σ = 2099299664. Its totient is φ = 244944000.

The previous prime is 768562661. The next prime is 768562681. The reversal of 768562668 is 866265867.

768562668 is a `hidden beast` number, since 7 + 6 + 8 + 5 + 626 + 6 + 8 = 666.

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 (768562661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 730743 + ... + 731793.

Almost surely, 2^768562668 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 768562668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049649832).

768562668 is an abundant number, since it is smaller than the sum of its proper divisors (1330736996).

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

768562668 is a wasteful number, since it uses less digits than its factorization.

768562668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 768562668 is about 27722.9628286733. The cubic root of 768562668 is about 915.9949832235.

It can be divided in two parts, 76856 and 2668, that added together give a square (79524 = 282²).

The spelling of 768562668 in words is "seven hundred sixty-eight million, five hundred sixty-two thousand, six hundred sixty-eight".