80744226079680 has 672 divisors, whose sum is σ = 301534519104000. Its totient is φ = 20538796658688.

The previous prime is 80744226079639. The next prime is 80744226079681. The reversal of 80744226079680 is 8697062244708.

80744226079680 is a `hidden beast` number, since 8 + 0 + 7 + 4 + 422 + 60 + 79 + 6 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80744226079681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186952621 + ... + 187384019.

It is an arithmetic number, because the mean of its divisors is an integer number (448712082000).

Almost surely, 2^{80744226079680} is an apocalyptic number.

80744226079680 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 80744226079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150767259552000).

80744226079680 is an abundant number, since it is smaller than the sum of its proper divisors (220790293024320).

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

80744226079680 is a wasteful number, since it uses less digits than its factorization.

80744226079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431543 (or 431521 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 80744226079680 in words is "eighty trillion, seven hundred forty-four billion, two hundred twenty-six million, seventy-nine thousand, six hundred eighty".