82008480 has 48 divisors (see below), whose sum is σ = 258328224. Its totient is φ = 21868800.

The previous prime is 82008463. The next prime is 82008499. The reversal of 82008480 is 8480028.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84946 + ... + 85905.

It is an arithmetic number, because the mean of its divisors is an integer number (5381838).

Almost surely, 2^82008480 is an apocalyptic number.

82008480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82008480 is an abundant number, since it is smaller than the sum of its proper divisors (176319744).

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

82008480 is a wasteful number, since it uses less digits than its factorization.

82008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170869 (or 170861 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 82008480 is about 9055.8533557031. The cubic root of 82008480 is about 434.4631241594.

The spelling of 82008480 in words is "eighty-two million, eight thousand, four hundred eighty".