81182080 has 64 divisors (see below), whose sum is σ = 221813280. Its totient is φ = 27832320.

The previous prime is 81182071. The next prime is 81182081. The reversal of 81182080 is 8028118.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×81182080² = 13181060226252800, which contains 22 as substring.

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 (81182081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4581 + ... + 13540.

Almost surely, 2^81182080 is an apocalyptic number.

81182080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81182080 is an abundant number, since it is smaller than the sum of its proper divisors (140631200).

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

81182080 is a wasteful number, since it uses less digits than its factorization.

81182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18147 (or 18135 counting only the distinct ones).

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

The square root of 81182080 is about 9010.1098772435. The cubic root of 81182080 is about 432.9988319283.

The spelling of 81182080 in words is "eighty-one million, one hundred eighty-two thousand, eighty".