81182800 has 60 divisors (see below), whose sum is σ = 201364096. Its totient is φ = 31420800.

The previous prime is 81182797. The next prime is 81182821. The reversal of 81182800 is 828118.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9127 + ... + 15673.

Almost surely, 2^81182800 is an apocalyptic number.

81182800 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 81182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100682048).

81182800 is an abundant number, since it is smaller than the sum of its proper divisors (120181296).

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

81182800 is a wasteful number, since it uses less digits than its factorization.

81182800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 81182800 is about 9010.1498322725. The cubic root of 81182800 is about 433.0001120065. Note that the first 3 decimals are identical.

The spelling of 81182800 in words is "eighty-one million, one hundred eighty-two thousand, eight hundred".