768016752 has 80 divisors (see below), whose sum is σ = 2117578752. Its totient is φ = 239016960.

The previous prime is 768016741. The next prime is 768016757. The reversal of 768016752 is 257610867.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768016757) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99927 + ... + 107337.

Almost surely, 2^768016752 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 768016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058789376).

768016752 is an abundant number, since it is smaller than the sum of its proper divisors (1349562000).

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

768016752 is a wasteful number, since it uses less digits than its factorization.

768016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 768016752 is about 27713.1151623198. The cubic root of 768016752 is about 915.7780524154.

The spelling of 768016752 in words is "seven hundred sixty-eight million, sixteen thousand, seven hundred fifty-two".