755964 has 72 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 216480.

The previous prime is 755959. The next prime is 755969. The reversal of 755964 is 469557.

It is an interprime number because it is at equal distance from previous prime (755959) and next prime (755969).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 755964.

It is not an unprimeable number, because it can be changed into a prime (755969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9067 + ... + 9149.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁷⁵⁵⁹⁶⁴ 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 755964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

755964 is an abundant number, since it is smaller than the sum of its proper divisors (1445508).

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

755964 is a wasteful number, since it uses less digits than its factorization.

755964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 122 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 755964 is about 869.4619025581. The cubic root of 755964 is about 91.0962231386.

The spelling of 755964 in words is "seven hundred fifty-five thousand, nine hundred sixty-four".