80100808320 has 384 divisors, whose sum is σ = 288519615360. Its totient is φ = 18858098688.

The previous prime is 80100808253. The next prime is 80100808349. The reversal of 80100808320 is 2380800108.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×80100808320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7457674 + ... + 7468406.

It is an arithmetic number, because the mean of its divisors is an integer number (751353165).

Almost surely, 2^80100808320 is an apocalyptic number.

80100808320 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 80100808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144259807680).

80100808320 is an abundant number, since it is smaller than the sum of its proper divisors (208418807040).

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

80100808320 is a wasteful number, since it uses less digits than its factorization.

80100808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10779 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 80100808320 in words is "eighty billion, one hundred million, eight hundred eight thousand, three hundred twenty".