7656 has 32 divisors (see below), whose sum is σ = 21600. Its totient is φ = 2240.

The previous prime is 7649. The next prime is 7669. The reversal of 7656 is 6567.

Subtracting from 7656 its reverse (6567), we obtain a square (1089 = 33^{2}).

7656 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×7656^{2} = 117228672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

Its product of digits (1260) is a multiple of the sum of its prime divisors (45).

It is a plaindrome in base 9.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 7656.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2^{7656} is an apocalyptic number.

It is a pronic number, being equal to 87×88.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

7656 is an abundant number, since it is smaller than the sum of its proper divisors (13944).

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

7656 is a wasteful number, since it uses less digits than its factorization.

7656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 45 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 7656 is about 87.4985714169. The cubic root of 7656 is about 19.7091233820.

The spelling of 7656 in words is "seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656

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