75820 has 24 divisors (see below), whose sum is σ = 169344. Its totient is φ = 28416.

The previous prime is 75797. The next prime is 75821. The reversal of 75820 is 2857.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75791 and 75800.

It is not an unprimeable number, because it can be changed into a prime (75821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2⁷⁵⁸²⁰ 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 75820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

75820 is an abundant number, since it is smaller than the sum of its proper divisors (93524).

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

75820 is a wasteful number, since it uses less digits than its factorization.

75820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 75820 is about 275.3543171988. The cubic root of 75820 is about 42.3247686947.

The spelling of 75820 in words is "seventy-five thousand, eight hundred twenty".