766208 has 36 divisors (see below), whose sum is σ = 1588188. Its totient is φ = 368640.

The previous prime is 766187. The next prime is 766211. The reversal of 766208 is 802667.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 565504 = 448^2 + 752^2 .

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766208.

It is an unprimeable number.

766208 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10460 + ... + 10532.

2⁷⁶⁶²⁰⁸ 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 766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794094).

766208 is an abundant number, since it is smaller than the sum of its proper divisors (821980).

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

766208 is an equidigital number, since it uses as much as digits as its factorization.

766208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 766208 is about 875.3330794618. Note that the first 3 decimals coincide. The cubic root of 766208 is about 91.5058572698.

The spelling of 766208 in words is "seven hundred sixty-six thousand, two hundred eight".