80905078800 has 960 divisors, whose sum is σ = 357097144320. Its totient is φ = 16941312000.

The previous prime is 80905078697. The next prime is 80905078847. The reversal of 80905078800 is 887050908.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 187714585 + ... + 187715015.

It is an arithmetic number, because the mean of its divisors is an integer number (371976192).

Almost surely, 2^80905078800 is an apocalyptic number.

80905078800 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 80905078800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178548572160).

80905078800 is an abundant number, since it is smaller than the sum of its proper divisors (276192065520).

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

80905078800 is a wasteful number, since it uses less digits than its factorization.

80905078800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 80905078800 in words is "eighty billion, nine hundred five million, seventy-eight thousand, eight hundred".