755856 has 60 divisors (see below), whose sum is σ = 2200380. Its totient is φ = 241920.

The previous prime is 755813. The next prime is 755861. The reversal of 755856 is 658557.

755856 is a `hidden beast` number, since 75 + 585 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 608400 = 384^2 + 780^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 755856.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755856.

It is an unprimeable number.

755856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 4086 + ... + 4266.

It is an arithmetic number, because the mean of its divisors is an integer number (36673).

2⁷⁵⁵⁸⁵⁶ 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 755856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100190).

755856 is an abundant number, since it is smaller than the sum of its proper divisors (1444524).

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

755856 is a wasteful number, since it uses less digits than its factorization.

755856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 755856 is about 869.3997929606. The cubic root of 755856 is about 91.0918848100.

The spelling of 755856 in words is "seven hundred fifty-five thousand, eight hundred fifty-six".