768322752 has 112 divisors (see below), whose sum is σ = 2226929760. Its totient is φ = 232701952.

The previous prime is 768322717. The next prime is 768322787. The reversal of 768322752 is 257223867.

768322752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768322717) and next prime (768322787).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90598 + ... + 98714.

Almost surely, 2^768322752 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 768322752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113464880).

768322752 is an abundant number, since it is smaller than the sum of its proper divisors (1458607008).

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

768322752 is a wasteful number, since it uses less digits than its factorization.

768322752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8178 (or 8168 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 768322752 is about 27718.6354642504. The cubic root of 768322752 is about 915.8996603858.

It can be divided in two parts, 768 and 322752, that multiplied together give a square (247873536 = 15744²).

The spelling of 768322752 in words is "seven hundred sixty-eight million, three hundred twenty-two thousand, seven hundred fifty-two".