768252168 has 192 divisors, whose sum is σ = 2345971200. Its totient is φ = 232657920.

The previous prime is 768252131. The next prime is 768252179. The reversal of 768252168 is 861252867.

768252168 is a `hidden beast` number, since 7 + 68 + 2 + 521 + 68 = 666.

It is a super-2 number, since 2×768252168² = 1180422787273400448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1934946 + ... + 1935342.

It is an arithmetic number, because the mean of its divisors is an integer number (12218600).

Almost surely, 2^768252168 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 768252168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172985600).

768252168 is an abundant number, since it is smaller than the sum of its proper divisors (1577719032).

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

768252168 is a wasteful number, since it uses less digits than its factorization.

768252168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 768252168 is about 27717.3622121586. The cubic root of 768252168 is about 915.8716123460.

The spelling of 768252168 in words is "seven hundred sixty-eight million, two hundred fifty-two thousand, one hundred sixty-eight".