82226080 has 48 divisors (see below), whose sum is σ = 195791904. Its totient is φ = 32631040.

The previous prime is 82226071. The next prime is 82226083. The reversal of 82226080 is 8062228.

It is a happy number.

It is a super-2 number, since 2×82226080² = 13522256464332800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82226083) 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, 18999 + ... + 22921.

It is an arithmetic number, because the mean of its divisors is an integer number (4078998).

Almost surely, 2^82226080 is an apocalyptic number.

82226080 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 82226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97895952).

82226080 is an abundant number, since it is smaller than the sum of its proper divisors (113565824).

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

82226080 is a wasteful number, since it uses less digits than its factorization.

82226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 82226080 is about 9067.8597254258. The cubic root of 82226080 is about 434.8470506453.

The spelling of 82226080 in words is "eighty-two million, two hundred twenty-six thousand, eighty".