40788 has 36 divisors (see below), whose sum is σ = 113568. Its totient is φ = 12240.

The previous prime is 40787. The next prime is 40801. The reversal of 40788 is 88704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345 + ... + 447.

2⁴⁰⁷⁸⁸ 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 40788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56784).

40788 is an abundant number, since it is smaller than the sum of its proper divisors (72780).

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

40788 is a wasteful number, since it uses less digits than its factorization.

40788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 40788 is about 201.9603921565. The cubic root of 40788 is about 34.4226369843.

It can be divided in two parts, 40 and 788, that added together give a palindrome (828).

The spelling of 40788 in words is "forty thousand, seven hundred eighty-eight".