8072820 has 144 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 1790208.

The previous prime is 8072809. The next prime is 8072821. The reversal of 8072820 is 282708.

8072820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54106 + ... + 54254.

It is an arithmetic number, because the mean of its divisors is an integer number (200200).

Almost surely, 2^8072820 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 8072820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

8072820 is an abundant number, since it is smaller than the sum of its proper divisors (20755980).

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

8072820 is a wasteful number, since it uses less digits than its factorization.

8072820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8072820 is about 2841.2708424225. The cubic root of 8072820 is about 200.6050013547.

It can be divided in two parts, 80 and 72820, that added together give a square (72900 = 270²).

The spelling of 8072820 in words is "eight million, seventy-two thousand, eight hundred twenty".