82077728 has 24 divisors (see below), whose sum is σ = 161824320. Its totient is φ = 40979520.

The previous prime is 82077727. The next prime is 82077817. The reversal of 82077728 is 82777028.

It is not an unprimeable number, because it can be changed into a prime (82077727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28013 + ... + 30803.

It is an arithmetic number, because the mean of its divisors is an integer number (6742680).

Almost surely, 2^82077728 is an apocalyptic number.

It is an amenable number.

82077728 is a deficient number, since it is larger than the sum of its proper divisors (79746592).

82077728 is a wasteful number, since it uses less digits than its factorization.

82077728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 41.

The square root of 82077728 is about 9059.6759323941. The cubic root of 82077728 is about 434.5853767129.

The spelling of 82077728 in words is "eighty-two million, seventy-seven thousand, seven hundred twenty-eight".