765216 has 36 divisors (see below), whose sum is σ = 2176902. Its totient is φ = 254976.

The previous prime is 765211. The next prime is 765227. The reversal of 765216 is 612567.

765216 is a `hidden beast` number, since 7 + 652 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 608400 + 156816 = 780^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 765216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1041 + ... + 1616.

2⁷⁶⁵²¹⁶ is an apocalyptic number.

It is an amenable number.

765216 is an abundant number, since it is smaller than the sum of its proper divisors (1411686).

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

765216 is a wasteful number, since it uses less digits than its factorization.

765216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2662 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 765216 is about 874.7662544932. The cubic root of 765216 is about 91.4663497152.

The spelling of 765216 in words is "seven hundred sixty-five thousand, two hundred sixteen".