82470080 has 112 divisors (see below), whose sum is σ = 244912896. Its totient is φ = 25697280.

The previous prime is 82470049. The next prime is 82470107. The reversal of 82470080 is 8007428.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 22967 + ... + 26313.

Almost surely, 2^82470080 is an apocalyptic number.

82470080 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 82470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448).

82470080 is an abundant number, since it is smaller than the sum of its proper divisors (162442816).

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

82470080 is a wasteful number, since it uses less digits than its factorization.

82470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82470080 is about 9081.3038711410. The cubic root of 82470080 is about 435.2767517098.

The spelling of 82470080 in words is "eighty-two million, four hundred seventy thousand, eighty".