8670780827280 has 1200 divisors, whose sum is σ = 36878269483440. Its totient is φ = 1873343324160.

The previous prime is 8670780827263. The next prime is 8670780827299. The reversal of 8670780827280 is 827280870768.

It can be written as a sum of positive squares in 8 ways, for example, as 62636073984 + 8608144753296 = 250272^2 + 2933964^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 295583494 + ... + 295612826.

Almost surely, 2^{8670780827280} is an apocalyptic number.

8670780827280 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 8670780827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18439134741720).

8670780827280 is an abundant number, since it is smaller than the sum of its proper divisors (28207488656160).

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

8670780827280 is a wasteful number, since it uses less digits than its factorization.

8670780827280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422 (or 29396 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 8670780827280 in words is "eight trillion, six hundred seventy billion, seven hundred eighty million, eight hundred twenty-seven thousand, two hundred eighty".