40776 has 16 divisors (see below), whose sum is σ = 102000. Its totient is φ = 13584.

The previous prime is 40771. The next prime is 40787. The reversal of 40776 is 67704.

40776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1699 = 40776 / (4 + 0 + 7 + 7 + 6).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (40771) by changing a digit.

40776 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, 826 + ... + 873.

It is an arithmetic number, because the mean of its divisors is an integer number (6375).

2⁴⁰⁷⁷⁶ is an apocalyptic number.

It is an amenable number.

40776 is an abundant number, since it is smaller than the sum of its proper divisors (61224).

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 (51000).

40776 is a wasteful number, since it uses less digits than its factorization.

40776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 40776 is about 201.9306811755. The cubic root of 40776 is about 34.4192608920.

The spelling of 40776 in words is "forty thousand, seven hundred seventy-six".