768102072 has 32 divisors (see below), whose sum is σ = 1937878800. Its totient is φ = 253684224.

The previous prime is 768102031. The next prime is 768102073. The reversal of 768102072 is 270201867.

768102072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768102073) 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, 144193 + ... + 149424.

Almost surely, 2^768102072 is an apocalyptic number.

It is an amenable number.

768102072 is an abundant number, since it is smaller than the sum of its proper divisors (1169776728).

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

768102072 is a wasteful number, since it uses less digits than its factorization.

768102072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293735 (or 293731 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 768102072 is about 27714.6544629371. The cubic root of 768102072 is about 915.8119628261.

The spelling of 768102072 in words is "seven hundred sixty-eight million, one hundred two thousand, seventy-two".