82424080 has 40 divisors (see below), whose sum is σ = 193552344. Its totient is φ = 32643200.

The previous prime is 82424059. The next prime is 82424107. The reversal of 82424080 is 8042428.

It can be written as a sum of positive squares in 4 ways, for example, as 43086096 + 39337984 = 6564^2 + 6272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816030 + ... + 816130.

Almost surely, 2^82424080 is an apocalyptic number.

82424080 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 82424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96776172).

82424080 is an abundant number, since it is smaller than the sum of its proper divisors (111128264).

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

82424080 is an frugal number, since it uses more digits than its factorization.

82424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 82424080 is about 9078.7708419147. The cubic root of 82424080 is about 435.1958073864.

The spelling of 82424080 in words is "eighty-two million, four hundred twenty-four thousand, eighty".