81182400 has 168 divisors, whose sum is σ = 287054544. Its totient is φ = 19968000.

The previous prime is 81182377. The next prime is 81182411. The reversal of 81182400 is 428118.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61750 + ... + 63050.

It is an arithmetic number, because the mean of its divisors is an integer number (1708658).

Almost surely, 2^81182400 is an apocalyptic number.

81182400 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 81182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143527272).

81182400 is an abundant number, since it is smaller than the sum of its proper divisors (205872144).

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

81182400 is a wasteful number, since it uses less digits than its factorization.

81182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 81182400 is about 9010.1276350560. The cubic root of 81182400 is about 432.9994008529. Note that the first 3 decimals are identical.

The spelling of 81182400 in words is "eighty-one million, one hundred eighty-two thousand, four hundred".