768000 has 96 divisors (see below), whose sum is σ = 2555280. Its totient is φ = 204800.

The previous prime is 767957. The next prime is 768013. The reversal of 768000 is 867.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

768000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 153598 + ... + 153602.

2⁷⁶⁸⁰⁰⁰ 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 768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277640).

768000 is an abundant number, since it is smaller than the sum of its proper divisors (1787280).

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

768000 is an equidigital number, since it uses as much as digits as its factorization.

768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 768000 is about 876.3560920083. The cubic root of 768000 is about 91.5771394043.

Adding to 768000 its reverse (867), we get a palindrome (768867).

The spelling of 768000 in words is "seven hundred sixty-eight thousand".