75790 has 32 divisors (see below), whose sum is σ = 163296. Its totient is φ = 24960.

The previous prime is 75787. The next prime is 75793. The reversal of 75790 is 9757.

75790 = T₁₂ + T₁₃ + ... + T₇₆.

It is an interprime number because it is at equal distance from previous prime (75787) and next prime (75793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1404 + ... + 1456.

It is an arithmetic number, because the mean of its divisors is an integer number (5103).

2⁷⁵⁷⁹⁰ is an apocalyptic number.

75790 is an abundant number, since it is smaller than the sum of its proper divisors (87506).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

75790 is a wasteful number, since it uses less digits than its factorization.

75790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 75790 is about 275.2998365419. The cubic root of 75790 is about 42.3191856886.

The spelling of 75790 in words is "seventy-five thousand, seven hundred ninety".