80793224064000 has 2816 divisors, whose sum is σ = 364015181537280. Its totient is φ = 17252352000000.

The previous prime is 80793224063999. The next prime is 80793224064053. The reversal of 80793224064000 is 46042239708.

80793224064000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×80793224064000³ (a number of 43 digits) contains 333 as substring.

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 255 ways as a sum of consecutive naturals, for example, 62100863350 + ... + 62100864650.

Almost surely, 2^{80793224064000} is an apocalyptic number.

80793224064000 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 80793224064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182007590768640).

80793224064000 is an abundant number, since it is smaller than the sum of its proper divisors (283221957473280).

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

80793224064000 is a wasteful number, since it uses less digits than its factorization.

80793224064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 80793224064000 in words is "eighty trillion, seven hundred ninety-three billion, two hundred twenty-four million, sixty-four thousand".