766536 has 48 divisors (see below), whose sum is σ = 2067600. Its totient is φ = 236160.

The previous prime is 766531. The next prime is 766541. The reversal of 766536 is 635667.

It is an interprime number because it is at equal distance from previous prime (766531) and next prime (766541).

It is a junction number, because it is equal to n+sod(n) for n = 766497 and 766506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766536.

It is not an unprimeable number, because it can be changed into a prime (766531) by changing a digit.

766536 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 11 ways as a sum of consecutive naturals, for example, 18676 + ... + 18716.

It is an arithmetic number, because the mean of its divisors is an integer number (43075).

2⁷⁶⁶⁵³⁶ is an apocalyptic number.

766536 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033800).

766536 is an abundant number, since it is smaller than the sum of its proper divisors (1301064).

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

766536 is a wasteful number, since it uses less digits than its factorization.

766536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 766536 is about 875.5204166666. The cubic root of 766536 is about 91.5189127497.

The spelling of 766536 in words is "seven hundred sixty-six thousand, five hundred thirty-six".