82980768 has 48 divisors (see below), whose sum is σ = 234583776. Its totient is φ = 25532160.

The previous prime is 82980713. The next prime is 82980787. The reversal of 82980768 is 86708928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 31998 + ... + 34493.

It is an arithmetic number, because the mean of its divisors is an integer number (4887162).

Almost surely, 2^82980768 is an apocalyptic number.

It is an amenable number.

82980768 is an abundant number, since it is smaller than the sum of its proper divisors (151603008).

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

82980768 is a wasteful number, since it uses less digits than its factorization.

82980768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66517 (or 66509 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 82980768 is about 9109.3780248709. The cubic root of 82980768 is about 436.1733732405.

The spelling of 82980768 in words is "eighty-two million, nine hundred eighty thousand, seven hundred sixty-eight".