756448 has 48 divisors (see below), whose sum is σ = 1862784. Its totient is φ = 293760.

The previous prime is 756443. The next prime is 756463. The reversal of 756448 is 844657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756443) 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, 2311 + ... + 2617.

It is an arithmetic number, because the mean of its divisors is an integer number (38808).

2⁷⁵⁶⁴⁴⁸ 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 756448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931392).

756448 is an abundant number, since it is smaller than the sum of its proper divisors (1106336).

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

756448 is a wasteful number, since it uses less digits than its factorization.

756448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 756448 is about 869.7401910916. The cubic root of 756448 is about 91.1156602043.

Subtracting 756448 from its reverse (844657), we obtain a square (88209 = 297²).

The spelling of 756448 in words is "seven hundred fifty-six thousand, four hundred forty-eight".