79820 has 24 divisors (see below), whose sum is σ = 181104. Its totient is φ = 29376.

The previous prime is 79817. The next prime is 79823. The reversal of 79820 is 2897.

79820 = T₆₅ + T₆₆ + ... + T₉₀.

It is an interprime number because it is at equal distance from previous prime (79817) and next prime (79823).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 79820.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 79820.

It is not an unprimeable number, because it can be changed into a prime (79823) 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, 107 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (7546).

2⁷⁹⁸²⁰ 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 79820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90552).

79820 is an abundant number, since it is smaller than the sum of its proper divisors (101284).

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

79820 is a wasteful number, since it uses less digits than its factorization.

79820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 79820 is about 282.5243352350. The cubic root of 79820 is about 43.0563530126.

It can be divided in two parts, 798 and 20, that added together give a palindrome (818).

The spelling of 79820 in words is "seventy-nine thousand, eight hundred twenty".