74820 has 48 divisors (see below), whose sum is σ = 221760. Its totient is φ = 18816.

The previous prime is 74797. The next prime is 74821. The reversal of 74820 is 2847.

It is a happy number.

It is a plaindrome in base 16.

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 74820.

It is not an unprimeable number, because it can be changed into a prime (74821) by changing a digit.

74820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1719 + ... + 1761.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁷⁴⁸²⁰ 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 74820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

74820 is an abundant number, since it is smaller than the sum of its proper divisors (146940).

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

74820 is a wasteful number, since it uses less digits than its factorization.

74820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 74820 is about 273.5324478010. The cubic root of 74820 is about 42.1378689326.

The spelling of 74820 in words is "seventy-four thousand, eight hundred twenty".