766736 has 20 divisors (see below), whose sum is σ = 1499532. Its totient is φ = 379776.

The previous prime is 766721. The next prime is 766739. The reversal of 766736 is 637667.

It can be written as a sum of positive squares in 2 ways, for example, as 430336 + 336400 = 656^2 + 580^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 766696 and 766705.

It is not an unprimeable number, because it can be changed into a prime (766739) by changing a digit.

766736 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 3 ways as a sum of consecutive naturals, for example, 2630 + ... + 2906.

2⁷⁶⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

766736 is a deficient number, since it is larger than the sum of its proper divisors (732796).

766736 is a wasteful number, since it uses less digits than its factorization.

766736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its digits is 31752, while the sum is 35.

The square root of 766736 is about 875.6346269992. The cubic root of 766736 is about 91.5268715805.

The spelling of 766736 in words is "seven hundred sixty-six thousand, seven hundred thirty-six".