8197001280 has 896 divisors, whose sum is σ = 34410700800. Its totient is φ = 1817468928.

The previous prime is 8197001221. The next prime is 8197001317. The reversal of 8197001280 is 821007918.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 49083757 + ... + 49083923.

It is an arithmetic number, because the mean of its divisors is an integer number (38404800).

Almost surely, 2^8197001280 is an apocalyptic number.

8197001280 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 8197001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205350400).

8197001280 is an abundant number, since it is smaller than the sum of its proper divisors (26213699520).

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

8197001280 is a wasteful number, since it uses less digits than its factorization.

8197001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 8197001280 is about 90537.2922060297. The cubic root of 8197001280 is about 2016.2838319196.

The spelling of 8197001280 in words is "eight billion, one hundred ninety-seven million, one thousand, two hundred eighty".