756096 has 64 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 227840.

The previous prime is 756053. The next prime is 756097. The reversal of 756096 is 690657.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×756096² = 1143362322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4135 + ... + 4313.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁷⁵⁶⁰⁹⁶ 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 756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

756096 is an abundant number, since it is smaller than the sum of its proper divisors (1447104).

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

756096 is a wasteful number, since it uses less digits than its factorization.

756096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 756096 is about 869.5378082637. The cubic root of 756096 is about 91.1015249791.

The spelling of 756096 in words is "seven hundred fifty-six thousand, ninety-six".