765840 has 40 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 204160.

The previous prime is 765827. The next prime is 765847. The reversal of 765840 is 48567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 765798 and 765807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 765840.

It is not an unprimeable number, because it can be changed into a prime (765847) by changing a digit.

765840 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1356 + ... + 1835.

2⁷⁶⁵⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

765840 is an abundant number, since it is smaller than the sum of its proper divisors (1609008).

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

765840 is a wasteful number, since it uses less digits than its factorization.

765840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 765840 is about 875.1228485190. The cubic root of 765840 is about 91.4912052224.

The spelling of 765840 in words is "seven hundred sixty-five thousand, eight hundred forty".