8197770240 has 528 divisors, whose sum is σ = 32188665600. Its totient is φ = 1984020480.

The previous prime is 8197770157. The next prime is 8197770241. The reversal of 8197770240 is 420777918.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8197770241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13685461 + ... + 13686059.

Almost surely, 2^8197770240 is an apocalyptic number.

8197770240 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 8197770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094332800).

8197770240 is an abundant number, since it is smaller than the sum of its proper divisors (23990895360).

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

8197770240 is a wasteful number, since it uses less digits than its factorization.

8197770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 8197770240 is about 90541.5387543198. The cubic root of 8197770240 is about 2016.3468790870.

The spelling of 8197770240 in words is "eight billion, one hundred ninety-seven million, seven hundred seventy thousand, two hundred forty".