82711280 has 40 divisors (see below), whose sum is σ = 197508192. Its totient is φ = 32189184.

The previous prime is 82711261. The next prime is 82711319. The reversal of 82711280 is 8211728.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 11012 + ... + 16931.

Almost surely, 2^82711280 is an apocalyptic number.

82711280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82711280 is an abundant number, since it is smaller than the sum of its proper divisors (114796912).

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

82711280 is a wasteful number, since it uses less digits than its factorization.

82711280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27993 (or 27987 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 82711280 is about 9094.5742066355. The cubic root of 82711280 is about 435.7006895592.

The spelling of 82711280 in words is "eighty-two million, seven hundred eleven thousand, two hundred eighty".