765242720 has 216 divisors, whose sum is σ = 2101855392. Its totient is φ = 262958080.

The previous prime is 765242717. The next prime is 765242741. The reversal of 765242720 is 27242567.

765242720 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16281737 + ... + 16281783.

It is an arithmetic number, because the mean of its divisors is an integer number (9730812).

Almost surely, 2^765242720 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 765242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050927696).

765242720 is an abundant number, since it is smaller than the sum of its proper divisors (1336612672).

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

765242720 is a wasteful number, since it uses less digits than its factorization.

765242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 765242720 is about 27663.0208039541. The cubic root of 765242720 is about 914.6741431766.

The spelling of 765242720 in words is "seven hundred sixty-five million, two hundred forty-two thousand, seven hundred twenty".