82414080 has 360 divisors, whose sum is σ = 336571092. Its totient is φ = 18579456.

The previous prime is 82414069. The next prime is 82414097. The reversal of 82414080 is 8041428.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 112896 = 9072^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128924 + ... + 1128996.

Almost surely, 2^82414080 is an apocalyptic number.

82414080 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 82414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168285546).

82414080 is an abundant number, since it is smaller than the sum of its proper divisors (254157012).

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

82414080 is a wasteful number, since it uses less digits than its factorization.

82414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82414080 is about 9078.2200898634. The cubic root of 82414080 is about 435.1782068095.

It can be divided in two parts, 8241 and 4080, that added together give a palindrome (12321).

The spelling of 82414080 in words is "eighty-two million, four hundred fourteen thousand, eighty".