759996 has 48 divisors (see below), whose sum is σ = 2042880. Its totient is φ = 244080.

The previous prime is 759973. The next prime is 760007. The reversal of 759996 is 699957.

759996 = 54² + 55² + ... + 134².

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 759996.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 3235 + ... + 3461.

It is an arithmetic number, because the mean of its divisors is an integer number (42560).

2⁷⁵⁹⁹⁹⁶ 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 759996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021440).

759996 is an abundant number, since it is smaller than the sum of its proper divisors (1282884).

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

759996 is a wasteful number, since it uses less digits than its factorization.

759996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 263 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 759996 is about 871.7774945478. Note that the first 3 decimals coincide. The cubic root of 759996 is about 91.2578926056.

It can be divided in two parts, 75 and 9996, that multiplied together give a triangular number (749700 = T₁₂₂₄).

The spelling of 759996 in words is "seven hundred fifty-nine thousand, nine hundred ninety-six".