8279820 has 120 divisors (see below), whose sum is σ = 27442800. Its totient is φ = 2083968.

The previous prime is 8279771. The next prime is 8279837. The reversal of 8279820 is 289728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30646 + ... + 30914.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 2^8279820 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 8279820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13721400).

8279820 is an abundant number, since it is smaller than the sum of its proper divisors (19162980).

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

8279820 is a wasteful number, since it uses less digits than its factorization.

8279820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8279820 is about 2877.4676366555. The cubic root of 8279820 is about 202.3051623892.

The spelling of 8279820 in words is "eight million, two hundred seventy-nine thousand, eight hundred twenty".