8076822402240 has 336 divisors, whose sum is σ = 28304433612000. Its totient is φ = 2113579352064.

The previous prime is 8076822402211. The next prime is 8076822402277. The reversal of 8076822402240 is 422042286708.

8076822402240 is a `hidden beast` number, since 80 + 76 + 82 + 2 + 402 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35503576 + ... + 35730344.

It is an arithmetic number, because the mean of its divisors is an integer number (84239385750).

Almost surely, 2^{8076822402240} is an apocalyptic number.

8076822402240 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 8076822402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152216806000).

8076822402240 is an abundant number, since it is smaller than the sum of its proper divisors (20227611209760).

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

8076822402240 is a wasteful number, since it uses less digits than its factorization.

8076822402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227024 (or 227011 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

Adding to 8076822402240 its reverse (422042286708), we get a palindrome (8498864688948).

The spelling of 8076822402240 in words is "eight trillion, seventy-six billion, eight hundred twenty-two million, four hundred two thousand, two hundred forty".