768105 has 36 divisors (see below), whose sum is σ = 1455948. Its totient is φ = 374400.

The previous prime is 768101. The next prime is 768107. The reversal of 768105 is 501867.

It can be written as a sum of positive squares in 6 ways, for example, as 21609 + 746496 = 147^2 + 864^2 .

It is not a de Polignac number, because 768105 - 2² = 768101 is a prime.

It is a Curzon number.

768105 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768101) 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 35 ways as a sum of consecutive naturals, for example, 7555 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (40443).

2⁷⁶⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

768105 is a deficient number, since it is larger than the sum of its proper divisors (687843).

768105 is a wasteful number, since it uses less digits than its factorization.

768105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 768105 is about 876.4159971155. The cubic root of 768105 is about 91.5813126514.

The spelling of 768105 in words is "seven hundred sixty-eight thousand, one hundred five".