36760 has 16 divisors (see below), whose sum is σ = 82800. Its totient is φ = 14688.

The previous prime is 36749. The next prime is 36761. The reversal of 36760 is 6763.

It is a happy number.

36760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (5175).

2³⁶⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

36760 is an abundant number, since it is smaller than the sum of its proper divisors (46040).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41400).

36760 is a wasteful number, since it uses less digits than its factorization.

36760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 36760 is about 191.7289753793. The cubic root of 36760 is about 33.2500141331.

The spelling of 36760 in words is "thirty-six thousand, seven hundred sixty".