7746 has 8 divisors (see below), whose sum is σ = 15504. Its totient is φ = 2580.

The previous prime is 7741. The next prime is 7753. The reversal of 7746 is 6477.

It is a sphenic number, since it is the product of 3 distinct primes.

7746 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 9, base 13 and base 15.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (7741) 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, 640 + ... + 651.

It is an arithmetic number, because the mean of its divisors is an integer number (1938).

2⁷⁷⁴⁶ is an apocalyptic number.

7746 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (7752).

7746 is a wasteful number, since it uses less digits than its factorization.

7746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296.

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

The square root of 7746 is about 88.0113629028. The cubic root of 7746 is about 19.7860528245.

It can be divided in two parts, 774 and 6, that added together give a triangular number (780 = T₃₉).

The spelling of 7746 in words is "seven thousand, seven hundred forty-six".