768142752 has 96 divisors (see below), whose sum is σ = 2202318720. Its totient is φ = 232995840.

The previous prime is 768142751. The next prime is 768142777. The reversal of 768142752 is 257241867.

768142752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (768142751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84274 + ... + 92942.

It is an arithmetic number, because the mean of its divisors is an integer number (22940820).

Almost surely, 2^768142752 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 768142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101159360).

768142752 is an abundant number, since it is smaller than the sum of its proper divisors (1434175968).

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

768142752 is a wasteful number, since it uses less digits than its factorization.

768142752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8758 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 768142752 is about 27715.3883609810. The cubic root of 768142752 is about 915.8281301968.

The spelling of 768142752 in words is "seven hundred sixty-eight million, one hundred forty-two thousand, seven hundred fifty-two".