75890 has 8 divisors (see below), whose sum is σ = 136620. Its totient is φ = 30352.

The previous prime is 75883. The next prime is 75913. The reversal of 75890 is 9857.

75890 = T₉₃ + T₉₄ + ... + T₁₀₇.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64009 + 11881 = 253^2 + 109^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3785 + ... + 3804.

2⁷⁵⁸⁹⁰ is an apocalyptic number.

75890 is a deficient number, since it is larger than the sum of its proper divisors (60730).

75890 is a wasteful number, since it uses less digits than its factorization.

75890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 75890 is about 275.4813968311. The cubic root of 75890 is about 42.3377899842.

It can be divided in two parts, 758 and 90, that added together give a palindrome (848).

The spelling of 75890 in words is "seventy-five thousand, eight hundred ninety".