8041782977280 has 432 divisors, whose sum is σ = 30089524832640. Its totient is φ = 1971224543232.

The previous prime is 8041782977273. The next prime is 8041782977309. The reversal of 8041782977280 is 827792871408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35680302 + ... + 35904978.

Almost surely, 2^{8041782977280} is an apocalyptic number.

8041782977280 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 8041782977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044762416320).

8041782977280 is an abundant number, since it is smaller than the sum of its proper divisors (22047741855360).

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

8041782977280 is a wasteful number, since it uses less digits than its factorization.

8041782977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224956 (or 224939 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 8041782977280 in words is "eight trillion, forty-one billion, seven hundred eighty-two million, nine hundred seventy-seven thousand, two hundred eighty".