768320 has 70 divisors (see below), whose sum is σ = 2134362. Its totient is φ = 263424.

The previous prime is 768319. The next prime is 768323. The reversal of 768320 is 23867.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 153664 = 784^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (70).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 768320.

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 109757 + ... + 109763.

768320 is a Friedman number, since it can be written as 20*(8+6)^(7-3), using all its digits and the basic arithmetic operations.

2⁷⁶⁸³²⁰ is an apocalyptic number.

768320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067181).

768320 is an abundant number, since it is smaller than the sum of its proper divisors (1366042).

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

768320 is an frugal number, since it uses more digits than its factorization.

768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 768320 is about 876.5386471799. The cubic root of 768320 is about 91.5898566853.

The spelling of 768320 in words is "seven hundred sixty-eight thousand, three hundred twenty".