80769908862720 has 1728 divisors, whose sum is σ = 369437054837760. Its totient is φ = 15783513292800.

The previous prime is 80769908862677. The next prime is 80769908862743. The reversal of 80769908862720 is 2726880996708.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2308947630 + ... + 2308982610.

It is an arithmetic number, because the mean of its divisors is an integer number (213794591920).

Almost surely, 2^{80769908862720} is an apocalyptic number.

80769908862720 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 80769908862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184718527418880).

80769908862720 is an abundant number, since it is smaller than the sum of its proper divisors (288667145975040).

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

80769908862720 is a wasteful number, since it uses less digits than its factorization.

80769908862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35182 (or 35165 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 80769908862720 in words is "eighty trillion, seven hundred sixty-nine billion, nine hundred eight million, eight hundred sixty-two thousand, seven hundred twenty".