80793292344960 has 256 divisors, whose sum is σ = 277389951390720. Its totient is φ = 19883891097600.

The previous prime is 80793292344931. The next prime is 80793292344971. The reversal of 80793292344960 is 6944329239708.

80793292344960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 80793292344891 and 80793292344900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135509905 + ... + 136104815.

It is an arithmetic number, because the mean of its divisors is an integer number (1083554497620).

Almost surely, 2^{80793292344960} is an apocalyptic number.

80793292344960 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 80793292344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138694975695360).

80793292344960 is an abundant number, since it is smaller than the sum of its proper divisors (196596659045760).

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

80793292344960 is a wasteful number, since it uses less digits than its factorization.

80793292344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600387 (or 600375 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 80793292344960 in words is "eighty trillion, seven hundred ninety-three billion, two hundred ninety-two million, three hundred forty-four thousand, nine hundred sixty".