759990 has 96 divisors (see below), whose sum is σ = 2363904. Its totient is φ = 154560.

The previous prime is 759973. The next prime is 760007. The reversal of 759990 is 99957.

It is an interprime number because it is at equal distance from previous prime (759973) and next prime (760007).

It is a congruent number.

It is an unprimeable number.

759990 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 47 ways as a sum of consecutive naturals, for example, 16147 + ... + 16193.

It is an arithmetic number, because the mean of its divisors is an integer number (24624).

2⁷⁵⁹⁹⁹⁰ is an apocalyptic number.

759990 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 759990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181952).

759990 is an abundant number, since it is smaller than the sum of its proper divisors (1603914).

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

759990 is a wasteful number, since it uses less digits than its factorization.

759990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 39.

The square root of 759990 is about 871.7740532959. The cubic root of 759990 is about 91.2576524514.

The spelling of 759990 in words is "seven hundred fifty-nine thousand, nine hundred ninety".