768321 has 6 divisors (see below), whose sum is σ = 1109810. Its totient is φ = 512208.

The previous prime is 768319. The next prime is 768323. The reversal of 768321 is 123867.

768321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (768319) and next prime (768323).

It can be written as a sum of positive squares in only one way, i.e., 408321 + 360000 = 639^2 + 600^2 .

It is not a de Polignac number, because 768321 - 2¹ = 768319 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 768321.

It is not an unprimeable number, because it can be changed into a prime (768323) 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, 42676 + ... + 42693.

2⁷⁶⁸³²¹ is an apocalyptic number.

It is an amenable number.

768321 is a deficient number, since it is larger than the sum of its proper divisors (341489).

768321 is a wasteful number, since it uses less digits than its factorization.

768321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85375 (or 85372 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 768321 is about 876.5392176052. The cubic root of 768321 is about 91.5898964212.

It can be divided in two parts, 768 and 321, that added together give a square (1089 = 33²).

The spelling of 768321 in words is "seven hundred sixty-eight thousand, three hundred twenty-one".