8082720 has 96 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2154240.

The previous prime is 8082691. The next prime is 8082749. The reversal of 8082720 is 272808.

8082720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8082691) and next prime (8082749).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^8082720 is an apocalyptic number.

8082720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

8082720 is an abundant number, since it is smaller than the sum of its proper divisors (20221920).

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

8082720 is a wasteful number, since it uses less digits than its factorization.

8082720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

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

The square root of 8082720 is about 2843.0124867823. The cubic root of 8082720 is about 200.6869709860.

The spelling of 8082720 in words is "eight million, eighty-two thousand, seven hundred twenty".