82277760 has 64 divisors (see below), whose sum is σ = 262266480. Its totient is φ = 21940224.

The previous prime is 82277759. The next prime is 82277803. The reversal of 82277760 is 6777228.

It is a tau number, because it is divible by the number of its divisors (64).

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, 19507 + ... + 23346.

Almost surely, 2^82277760 is an apocalyptic number.

82277760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82277760 is an abundant number, since it is smaller than the sum of its proper divisors (179988720).

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

82277760 is a wasteful number, since it uses less digits than its factorization.

82277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42875 (or 42863 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 82277760 is about 9070.7089028366. The cubic root of 82277760 is about 434.9381336247.

The spelling of 82277760 in words is "eighty-two million, two hundred seventy-seven thousand, seven hundred sixty".