8001720 has 128 divisors (see below), whose sum is σ = 27648000. Its totient is φ = 2056320.

The previous prime is 8001667. The next prime is 8001727. The reversal of 8001720 is 271008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8001693 and 8001702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33361 + ... + 33599.

It is an arithmetic number, because the mean of its divisors is an integer number (216000).

Almost surely, 2^8001720 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 8001720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824000).

8001720 is an abundant number, since it is smaller than the sum of its proper divisors (19646280).

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

8001720 is a wasteful number, since it uses less digits than its factorization.

8001720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 8001720 is about 2828.7311643209. The cubic root of 8001720 is about 200.0143323062.

Adding to 8001720 its reverse (271008), we get a palindrome (8272728).

The spelling of 8001720 in words is "eight million, one thousand, seven hundred twenty".