80856230400 has 480 divisors, whose sum is σ = 323777044800. Its totient is φ = 19600588800.

The previous prime is 80856230341. The next prime is 80856230401. The reversal of 80856230400 is 403265808.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80856230401) 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 47 ways as a sum of consecutive naturals, for example, 3790966 + ... + 3812234.

It is an arithmetic number, because the mean of its divisors is an integer number (674535510).

Almost surely, 2^80856230400 is an apocalyptic number.

80856230400 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 80856230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161888522400).

80856230400 is an abundant number, since it is smaller than the sum of its proper divisors (242920814400).

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

80856230400 is a wasteful number, since it uses less digits than its factorization.

80856230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317 (or 21290 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 80856230400 in words is "eighty billion, eight hundred fifty-six million, two hundred thirty thousand, four hundred".