81226800 has 300 divisors, whose sum is σ = 306981840. Its totient is φ = 20528640.

The previous prime is 81226759. The next prime is 81226811. The reversal of 81226800 is 862218.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 745146 + ... + 745254.

Almost surely, 2^81226800 is an apocalyptic number.

81226800 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 81226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153490920).

81226800 is an abundant number, since it is smaller than the sum of its proper divisors (225755040).

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

81226800 is a wasteful number, since it uses less digits than its factorization.

81226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 81226800 is about 9012.5911923264. The cubic root of 81226800 is about 433.0783246492.

The spelling of 81226800 in words is "eighty-one million, two hundred twenty-six thousand, eight hundred".