768075168 has 48 divisors (see below), whose sum is σ = 2304227520. Its totient is φ = 219449856.

The previous prime is 768075167. The next prime is 768075169. The reversal of 768075168 is 861570867.

It is an interprime number because it is at equal distance from previous prime (768075167) and next prime (768075169).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×768075168³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (768075167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570813 + ... + 572156.

It is an arithmetic number, because the mean of its divisors is an integer number (48004740).

Almost surely, 2^768075168 is an apocalyptic number.

It is an amenable number.

768075168 is an abundant number, since it is smaller than the sum of its proper divisors (1536152352).

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

768075168 is a wasteful number, since it uses less digits than its factorization.

768075168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142989 (or 1142981 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 768075168 is about 27714.1690837016. The cubic root of 768075168 is about 915.8012701097.

The spelling of 768075168 in words is "seven hundred sixty-eight million, seventy-five thousand, one hundred sixty-eight".