768540 has 24 divisors (see below), whose sum is σ = 2152080. Its totient is φ = 204928.

The previous prime is 768503. The next prime is 768541. The reversal of 768540 is 45867.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct 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 = 768498 and 768507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768541) by changing a digit.

768540 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, 6345 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (89670).

2⁷⁶⁸⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

768540 is an abundant number, since it is smaller than the sum of its proper divisors (1383540).

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

768540 is a wasteful number, since it uses less digits than its factorization.

768540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12819 counting only the distinct ones).

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

The square root of 768540 is about 876.6641318088. The cubic root of 768540 is about 91.5985977678.

The spelling of 768540 in words is "seven hundred sixty-eight thousand, five hundred forty".