80899872768 has 576 divisors, whose sum is σ = 283447382400. Its totient is φ = 22600581120.

The previous prime is 80899872721. The next prime is 80899872769. The reversal of 80899872768 is 86727899808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 80899872696 and 80899872705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80899872769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102794871 + ... + 102795657.

It is an arithmetic number, because the mean of its divisors is an integer number (492096150).

Almost surely, 2^80899872768 is an apocalyptic number.

80899872768 is a gapful number since it is divisible by the number (88) 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 80899872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141723691200).

80899872768 is an abundant number, since it is smaller than the sum of its proper divisors (202547509632).

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

80899872768 is a wasteful number, since it uses less digits than its factorization.

80899872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 80899872768 in words is "eighty billion, eight hundred ninety-nine million, eight hundred seventy-two thousand, seven hundred sixty-eight".