81244800 has 576 divisors, whose sum is σ = 368309760. Its totient is φ = 16588800.

The previous prime is 81244781. The next prime is 81244861. The reversal of 81244800 is 844218.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620785 + ... + 2620815.

Almost surely, 2^81244800 is an apocalyptic number.

81244800 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 81244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

81244800 is an abundant number, since it is smaller than the sum of its proper divisors (287064960).

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

81244800 is a wasteful number, since it uses less digits than its factorization.

81244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 81244800 is about 9013.5897399427. The cubic root of 81244800 is about 433.1103125895.

The spelling of 81244800 in words is "eighty-one million, two hundred forty-four thousand, eight hundred".