8001035280 has 320 divisors, whose sum is σ = 33155020800. Its totient is φ = 1732492800.

The previous prime is 8001035249. The next prime is 8001035311. The reversal of 8001035280 is 825301008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8001035249) and next prime (8001035311).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273355 + ... + 301205.

It is an arithmetic number, because the mean of its divisors is an integer number (103609440).

Almost surely, 2^8001035280 is an apocalyptic number.

8001035280 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 8001035280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16577510400).

8001035280 is an abundant number, since it is smaller than the sum of its proper divisors (25153985520).

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

8001035280 is a wasteful number, since it uses less digits than its factorization.

8001035280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27899 (or 27887 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8001035280 is about 89448.5063039065. The cubic root of 8001035280 is about 2000.0862696121.

Adding to 8001035280 its reverse (825301008), we get a palindrome (8826336288).

It can be divided in two parts, 800 and 1035280, that added together give a triangular number (1036080 = T₁₄₃₉).

The spelling of 8001035280 in words is "eight billion, one million, thirty-five thousand, two hundred eighty".