82980480 has 128 divisors (see below), whose sum is σ = 288619200. Its totient is φ = 20111360.

The previous prime is 82980449. The next prime is 82980503. The reversal of 82980480 is 8408928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×82980480² = 13771520122060800, which contains 22 as substring.

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, 19156 + ... + 23084.

Almost surely, 2^82980480 is an apocalyptic number.

82980480 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 82980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144309600).

82980480 is an abundant number, since it is smaller than the sum of its proper divisors (205638720).

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

82980480 is a wasteful number, since it uses less digits than its factorization.

82980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 82980480 is about 9109.3622169722. The cubic root of 82980480 is about 436.1728686333.

The spelling of 82980480 in words is "eighty-two million, nine hundred eighty thousand, four hundred eighty".