82826080 has 48 divisors (see below), whose sum is σ = 196227360. Its totient is φ = 33037312.

The previous prime is 82826071. The next prime is 82826083. The reversal of 82826080 is 8062828.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82826083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98301 + ... + 99139.

It is an arithmetic number, because the mean of its divisors is an integer number (4088070).

Almost surely, 2^82826080 is an apocalyptic number.

82826080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82826080 is an abundant number, since it is smaller than the sum of its proper divisors (113401280).

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

82826080 is a wasteful number, since it uses less digits than its factorization.

82826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 82826080 is about 9100.8834735975. The cubic root of 82826080 is about 435.9021748374.

The spelling of 82826080 in words is "eighty-two million, eight hundred twenty-six thousand, eighty".