80817696000 has 576 divisors, whose sum is σ = 301900435200. Its totient is φ = 21288960000.

The previous prime is 80817695983. The next prime is 80817696007. The reversal of 80817696000 is 69671808.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80817696007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76895475 + ... + 76896525.

It is an arithmetic number, because the mean of its divisors is an integer number (524132700).

Almost surely, 2^80817696000 is an apocalyptic number.

80817696000 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 80817696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150950217600).

80817696000 is an abundant number, since it is smaller than the sum of its proper divisors (221082739200).

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

80817696000 is a wasteful number, since it uses less digits than its factorization.

80817696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 80817696000 in words is "eighty billion, eight hundred seventeen million, six hundred ninety-six thousand".