40764 has 24 divisors (see below), whose sum is σ = 98560. Its totient is φ = 13104.

The previous prime is 40763. The next prime is 40771. The reversal of 40764 is 46704.

It is a self number, because there is not a number n which added to its sum of digits gives 40764.

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 40764.

It is not an unprimeable number, because it can be changed into a prime (40763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 555.

2⁴⁰⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

40764 is an abundant number, since it is smaller than the sum of its proper divisors (57796).

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 (49280).

40764 is a wasteful number, since it uses less digits than its factorization.

40764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40764 is about 201.9009658224. The cubic root of 40764 is about 34.4158841373.

The spelling of 40764 in words is "forty thousand, seven hundred sixty-four".