80854800 has 240 divisors, whose sum is σ = 286731648. Its totient is φ = 19353600.

The previous prime is 80854793. The next prime is 80854811. The reversal of 80854800 is 845808.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 1107564 + ... + 1107636.

Almost surely, 2^80854800 is an apocalyptic number.

80854800 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 80854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143365824).

80854800 is an abundant number, since it is smaller than the sum of its proper divisors (205876848).

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

80854800 is a wasteful number, since it uses less digits than its factorization.

80854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 80854800 is about 8991.9297150278. The cubic root of 80854800 is about 432.4161798650.

The spelling of 80854800 in words is "eighty million, eight hundred fifty-four thousand, eight hundred".