82426080 has 192 divisors, whose sum is σ = 288707328. Its totient is φ = 19599360.

The previous prime is 82426079. The next prime is 82426103. The reversal of 82426080 is 8062428.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 353644 + ... + 353876.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^82426080 is an apocalyptic number.

82426080 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 82426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

82426080 is an abundant number, since it is smaller than the sum of its proper divisors (206281248).

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

82426080 is a wasteful number, since it uses less digits than its factorization.

82426080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82426080 is about 9078.8809883157. The cubic root of 82426080 is about 435.1993273310.

The spelling of 82426080 in words is "eighty-two million, four hundred twenty-six thousand, eighty".