79220 has 24 divisors (see below), whose sum is σ = 176904. Its totient is φ = 29696.

The previous prime is 79201. The next prime is 79229. The reversal of 79220 is 2297.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 71824 = 86^2 + 268^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 79192 and 79201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79229) by changing a digit.

79220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁷⁹²²⁰ 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 79220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

79220 is an abundant number, since it is smaller than the sum of its proper divisors (97684).

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

79220 is a wasteful number, since it uses less digits than its factorization.

79220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 79220 is about 281.4604767991. The cubic root of 79220 is about 42.9481979401.

The spelling of 79220 in words is "seventy-nine thousand, two hundred twenty".