8006788679760 has 800 divisors, whose sum is σ = 30395069591040. Its totient is φ = 1941588320256.

The previous prime is 8006788679699. The next prime is 8006788679797. The reversal of 8006788679760 is 679768876008.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3746741412 + ... + 3746743548.

Almost surely, 2^{8006788679760} is an apocalyptic number.

8006788679760 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 8006788679760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197534795520).

8006788679760 is an abundant number, since it is smaller than the sum of its proper divisors (22388280911280).

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

8006788679760 is a wasteful number, since it uses less digits than its factorization.

8006788679760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 8006788679760 in words is "eight trillion, six billion, seven hundred eighty-eight million, six hundred seventy-nine thousand, seven hundred sixty".