81822080 has 64 divisors (see below), whose sum is σ = 197002800. Its totient is φ = 32495616.

The previous prime is 81822073. The next prime is 81822127. The reversal of 81822080 is 8022818.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110351 + ... + 111089.

Almost surely, 2^81822080 is an apocalyptic number.

81822080 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 81822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98501400).

81822080 is an abundant number, since it is smaller than the sum of its proper divisors (115180720).

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

81822080 is a wasteful number, since it uses less digits than its factorization.

81822080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 81822080 is about 9045.5558148740. Note that the first 3 decimals coincide. The cubic root of 81822080 is about 434.1337055390.

Adding to 81822080 its reverse (8022818), we get a palindrome (89844898).

The spelling of 81822080 in words is "eighty-one million, eight hundred twenty-two thousand, eighty".