81827200 has 192 divisors, whose sum is σ = 249671520. Its totient is φ = 25804800.

The previous prime is 81827191. The next prime is 81827203. The reversal of 81827200 is 272818.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81827203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291060 + ... + 291340.

Almost surely, 2^81827200 is an apocalyptic number.

81827200 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 81827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124835760).

81827200 is an abundant number, since it is smaller than the sum of its proper divisors (167844320).

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

81827200 is a wasteful number, since it uses less digits than its factorization.

81827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 81827200 is about 9045.8388223536. The cubic root of 81827200 is about 434.1427606263.

The spelling of 81827200 in words is "eighty-one million, eight hundred twenty-seven thousand, two hundred".