80112800 has 72 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 31834880.

The previous prime is 80112787. The next prime is 80112803. The reversal of 80112800 is 821108.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (80112803) 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 11 ways as a sum of consecutive naturals, for example, 190991 + ... + 191409.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^80112800 is an apocalyptic number.

80112800 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 80112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

80112800 is an abundant number, since it is smaller than the sum of its proper divisors (116749600).

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

80112800 is a wasteful number, since it uses less digits than its factorization.

80112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 80112800 is about 8950.5754004980. The cubic root of 80112800 is about 431.0893597588.

Adding to 80112800 its reverse (821108), we get a palindrome (80933908).

The spelling of 80112800 in words is "eighty million, one hundred twelve thousand, eight hundred".