8001280 has 144 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 2543616.

The previous prime is 8001277. The next prime is 8001281. The reversal of 8001280 is 821008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170217 + ... + 170263.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^8001280 is an apocalyptic number.

8001280 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 8001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

8001280 is an abundant number, since it is smaller than the sum of its proper divisors (15545600).

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

8001280 is a wasteful number, since it uses less digits than its factorization.

8001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 8001280 is about 2828.6533898659. The cubic root of 8001280 is about 200.0106660978.

Adding to 8001280 its reverse (821008), we get a palindrome (8822288).

It can be divided in two parts, 8001 and 280, that added together give a square (8281 = 91²).

The spelling of 8001280 in words is "eight million, one thousand, two hundred eighty".