7776 has 36 divisors (see below), whose sum is σ = 22932. Its totient is φ = 2592.

The previous prime is 7759. The next prime is 7789. The reversal of 7776 is 6777.

It is a perfect power (a 5-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (3!)^{5}.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2591 + 2592 + 2593.

It is an arithmetic number, because the mean of its divisors is an integer number (637).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466).

7776 is an abundant number, since it is smaller than the sum of its proper divisors (15156).

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

7776 is an equidigital number, since it uses as much as digits as its factorization.

7776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 5 counting only the distinct ones).

The product of its digits is 2058, while the sum is 27.

The square root of 7776 is about 88.1816307402. The cubic root of 7776 is about 19.8115634934.

Multiplying 7776 by its product of digits (2058), we get a cube (16003008 = 252^{3}).

Subtracting from 7776 its reverse (6777), we obtain a palindrome (999).

It can be divided in two parts, 77 and 76, that added together give a triangular number (153 = T_{17}).

The spelling of 7776 in words is "seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776

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