75780 has 36 divisors (see below), whose sum is σ = 230412. Its totient is φ = 20160.

The previous prime is 75773. The next prime is 75781. The reversal of 75780 is 8757.

It can be written as a sum of positive squares in 2 ways, for example, as 9216 + 66564 = 96^2 + 258^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (75781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31 + ... + 390.

2⁷⁵⁷⁸⁰ 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 75780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115206).

75780 is an abundant number, since it is smaller than the sum of its proper divisors (154632).

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

75780 is a wasteful number, since it uses less digits than its factorization.

75780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 75780 is about 275.2816739269. The cubic root of 75780 is about 42.3173243592.

The spelling of 75780 in words is "seventy-five thousand, seven hundred eighty".