768240 has 120 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 184320.

The previous prime is 768221. The next prime is 768241. The reversal of 768240 is 42867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7872 + ... + 7968.

2⁷⁶⁸²⁴⁰ 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 768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

768240 is an abundant number, since it is smaller than the sum of its proper divisors (2075328).

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

768240 is a wasteful number, since it uses less digits than its factorization.

768240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 768240 is about 876.4930119516. The cubic root of 768240 is about 91.5866776961.

The spelling of 768240 in words is "seven hundred sixty-eight thousand, two hundred forty".