207768 has 32 divisors (see below), whose sum is σ = 567360. Its totient is φ = 62880.

The previous prime is 207763. The next prime is 207769. The reversal of 207768 is 867702.

207768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹⁵ + 0 + 7⁵ + 7⁶ + 6⁵ + 8⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 207768.

It is not an unprimeable number, because it can be changed into a prime (207763) by changing a digit.

207768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (17730).

2²⁰⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

207768 is an abundant number, since it is smaller than the sum of its proper divisors (359592).

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

207768 is a wasteful number, since it uses less digits than its factorization.

207768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 207768 is about 455.8157522508. The cubic root of 207768 is about 59.2278843559.

It can be divided in two parts, 2077 and 68, that added together give a triangular number (2145 = T₆₅).

The spelling of 207768 in words is "two hundred seven thousand, seven hundred sixty-eight".