80223436800 has 1152 divisors, whose sum is σ = 331294629120. Its totient is φ = 19110297600.

The previous prime is 80223436789. The next prime is 80223436807. The reversal of 80223436800 is 863432208.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80223436807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2587852785 + ... + 2587852815.

Almost surely, 2^80223436800 is an apocalyptic number.

80223436800 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 80223436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165647314560).

80223436800 is an abundant number, since it is smaller than the sum of its proper divisors (251071192320).

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

80223436800 is an equidigital number, since it uses as much as digits as its factorization.

80223436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 80223436800 in words is "eighty billion, two hundred twenty-three million, four hundred thirty-six thousand, eight hundred".