• 756 can be written using four 4's:

• 756 is smallest number which is not a square, but such that the products of its suffixes and its prefixes are squares. Indeed,

756 has 24 divisors (see below), whose sum is σ = 2240. Its totient is φ = 216.

The previous prime is 751. The next prime is 757. The reversal of 756 is 657.

756 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (751) by changing a digit.

756 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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 111.

It is a pronic number, being equal to 27×28.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120).

756 is an abundant number, since it is smaller than the sum of its proper divisors (1484).

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

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

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

The sum of its prime factors is 20 (or 12 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 756 is about 27.4954541697. The cubic root of 756 is about 9.1097669156.

Subtracting from 756 its reverse (657), we obtain a palindrome (99).

It can be divided in two parts, 75 and 6, that added together give a 4-th power (81 = 3^{4}).

The spelling of 756 in words is "seven hundred fifty-six", and thus it is an aban number and an oban number.

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