752990 has 32 divisors (see below), whose sum is σ = 1603584. Its totient is φ = 249120.

The previous prime is 752977. The next prime is 752993. The reversal of 752990 is 99257.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 752990.

It is not an unprimeable number, because it can be changed into a prime (752993) by changing a digit.

752990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1997 + ... + 2343.

It is an arithmetic number, because the mean of its divisors is an integer number (50112).

2⁷⁵²⁹⁹⁰ is an apocalyptic number.

752990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

752990 is an abundant number, since it is smaller than the sum of its proper divisors (850594).

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

752990 is a wasteful number, since it uses less digits than its factorization.

752990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 752990 is about 867.7499639873. The cubic root of 752990 is about 90.9766071175.

The spelling of 752990 in words is "seven hundred fifty-two thousand, nine hundred ninety".