756048 has 40 divisors (see below), whose sum is σ = 2058400. Its totient is φ = 238464.

The previous prime is 756043. The next prime is 756053. The reversal of 756048 is 840657.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (756043) and next prime (756053).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498 + ... + 1326.

It is an arithmetic number, because the mean of its divisors is an integer number (51460).

2⁷⁵⁶⁰⁴⁸ 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 756048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029200).

756048 is an abundant number, since it is smaller than the sum of its proper divisors (1302352).

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

756048 is a wasteful number, since it uses less digits than its factorization.

756048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 756048 is about 869.5102069556. The cubic root of 756048 is about 91.0995971085.

The spelling of 756048 in words is "seven hundred fifty-six thousand, forty-eight".