756720 has 60 divisors (see below), whose sum is σ = 2543736. Its totient is φ = 201600.

The previous prime is 756719. The next prime is 756727. The reversal of 756720 is 27657.

756720 = 138² + 139² + ... + 169².

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 756720.

It is not an unprimeable number, because it can be changed into a prime (756727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195 + ... + 1245.

2⁷⁵⁶⁷²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 756720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271868).

756720 is an abundant number, since it is smaller than the sum of its proper divisors (1787016).

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

756720 is a wasteful number, since it uses less digits than its factorization.

756720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 756720 is about 869.8965455731. The cubic root of 756720 is about 91.1265798752.

The spelling of 756720 in words is "seven hundred fifty-six thousand, seven hundred twenty".