768823668 has 72 divisors (see below), whose sum is σ = 2032430400. Its totient is φ = 244586496.

The previous prime is 768823667. The next prime is 768823709. The reversal of 768823668 is 866328867.

It is a happy number.

It is a super-3 number, since 3×768823668³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768823661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544948 + ... + 546356.

It is an arithmetic number, because the mean of its divisors is an integer number (28228200).

Almost surely, 2^768823668 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 768823668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016215200).

768823668 is an abundant number, since it is smaller than the sum of its proper divisors (1263606732).

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

768823668 is a wasteful number, since it uses less digits than its factorization.

768823668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2101 (or 2096 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 768823668 is about 27727.6697181714. The cubic root of 768823668 is about 916.0986605782.

The spelling of 768823668 in words is "seven hundred sixty-eight million, eight hundred twenty-three thousand, six hundred sixty-eight".