752808 has 32 divisors (see below), whose sum is σ = 2151360. Its totient is φ = 215040.

The previous prime is 752803. The next prime is 752809. The reversal of 752808 is 808257.

It is not an unprimeable number, because it can be changed into a prime (752803) by changing a digit.

752808 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2073 + ... + 2408.

It is an arithmetic number, because the mean of its divisors is an integer number (67230).

2⁷⁵²⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

752808 is an abundant number, since it is smaller than the sum of its proper divisors (1398552).

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

752808 is a wasteful number, since it uses less digits than its factorization.

752808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 752808 is about 867.6450887316. The cubic root of 752808 is about 90.9692767516.

The spelling of 752808 in words is "seven hundred fifty-two thousand, eight hundred eight".