765116720 has 80 divisors (see below), whose sum is σ = 1821445920. Its totient is φ = 298801152.

The previous prime is 765116711. The next prime is 765116731. The reversal of 765116720 is 27611567.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 816092 + ... + 817028.

It is an arithmetic number, because the mean of its divisors is an integer number (22768074).

Almost surely, 2^765116720 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 765116720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910722960).

765116720 is an abundant number, since it is smaller than the sum of its proper divisors (1056329200).

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

765116720 is a wasteful number, since it uses less digits than its factorization.

765116720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 765116720 is about 27660.7433016541. The cubic root of 765116720 is about 914.6239389451.

The spelling of 765116720 in words is "seven hundred sixty-five million, one hundred sixteen thousand, seven hundred twenty".