82226880 has 224 divisors, whose sum is σ = 300410880. Its totient is φ = 21150720.

The previous prime is 82226869. The next prime is 82226887. The reversal of 82226880 is 8862228.

It is a super-2 number, since 2×82226880² = 13522519589068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82226887) 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 31 ways as a sum of consecutive naturals, for example, 267687 + ... + 267993.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 2^82226880 is an apocalyptic number.

82226880 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 82226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

82226880 is an abundant number, since it is smaller than the sum of its proper divisors (218184000).

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

82226880 is a wasteful number, since it uses less digits than its factorization.

82226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82226880 is about 9067.9038371610. The cubic root of 82226880 is about 434.8484608893.

The spelling of 82226880 in words is "eighty-two million, two hundred twenty-six thousand, eight hundred eighty".