320769 has 12 divisors (see below), whose sum is σ = 479700. Its totient is φ = 206304.

The previous prime is 320767. The next prime is 320791. The reversal of 320769 is 967023.

320769 = T₁₃₄ + T₁₃₅ + ... + T₁₆₂.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 57600 = 513^2 + 240^2 .

It is not a de Polignac number, because 320769 - 2¹ = 320767 is a prime.

It is a super-2 number, since 2×320769² = 205785502722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (39975).

2³²⁰⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

320769 is a deficient number, since it is larger than the sum of its proper divisors (158931).

320769 is a wasteful number, since it uses less digits than its factorization.

320769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 320769 is about 566.3647234777. The cubic root of 320769 is about 68.4537845154.

It can be divided in two parts, 320 and 769, that added together give a square (1089 = 33²).

The spelling of 320769 in words is "three hundred twenty thousand, seven hundred sixty-nine".