765320 has 48 divisors (see below), whose sum is σ = 1851660. Its totient is φ = 284544.

The previous prime is 765319. The next prime is 765329. The reversal of 765320 is 23567.

765320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 763876 + 1444 = 874^2 + 38^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (765329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14414 + ... + 14466.

2⁷⁶⁵³²⁰ 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 765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925830).

765320 is an abundant number, since it is smaller than the sum of its proper divisors (1086340).

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

765320 is a wasteful number, since it uses less digits than its factorization.

765320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 765320 is about 874.8256969248. The cubic root of 765320 is about 91.4704932379.

Adding to 765320 its reverse (23567), we get a palindrome (788887).

The spelling of 765320 in words is "seven hundred sixty-five thousand, three hundred twenty".