82782080 has 32 divisors (see below), whose sum is σ = 197902440. Its totient is φ = 33112576.

The previous prime is 82782079. The next prime is 82782097. The reversal of 82782080 is 8028728.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 82782080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64034 + ... + 65313.

Almost surely, 2^82782080 is an apocalyptic number.

82782080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82782080 is an abundant number, since it is smaller than the sum of its proper divisors (115120360).

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

82782080 is a wasteful number, since it uses less digits than its factorization.

82782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129366 (or 129354 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 82782080 is about 9098.4658047387. The cubic root of 82782080 is about 435.8249725319.

The spelling of 82782080 in words is "eighty-two million, seven hundred eighty-two thousand, eighty".