80393359200 has 864 divisors, whose sum is σ = 343688002560. Its totient is φ = 16121548800.

The previous prime is 80393359169. The next prime is 80393359201. The reversal of 80393359200 is 295339308.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80393359201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37513329 + ... + 37515471.

It is an arithmetic number, because the mean of its divisors is an integer number (397787040).

Almost surely, 2^80393359200 is an apocalyptic number.

80393359200 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 80393359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171844001280).

80393359200 is an abundant number, since it is smaller than the sum of its proper divisors (263294643360).

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

80393359200 is a wasteful number, since it uses less digits than its factorization.

80393359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 80393359200 in words is "eighty billion, three hundred ninety-three million, three hundred fifty-nine thousand, two hundred".