755846448 has 160 divisors (see below), whose sum is σ = 2364848640. Its totient is φ = 203212800.

The previous prime is 755846437. The next prime is 755846449. The reversal of 755846448 is 844648557.

It is a self number, because there is not a number n which added to its sum of digits gives 755846448.

It is not an unprimeable number, because it can be changed into a prime (755846449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257348 + ... + 1257948.

It is an arithmetic number, because the mean of its divisors is an integer number (14780304).

Almost surely, 2^755846448 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 755846448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182424320).

755846448 is an abundant number, since it is smaller than the sum of its proper divisors (1609002192).

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

755846448 is a wasteful number, since it uses less digits than its factorization.

755846448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 51.

The square root of 755846448 is about 27492.6617118096. The cubic root of 755846448 is about 910.9150108905.

It can be divided in two parts, 75 and 5846448, that multiplied together give a square (438483600 = 20940²).

The spelling of 755846448 in words is "seven hundred fifty-five million, eight hundred forty-six thousand, four hundred forty-eight".