82768002 has 32 divisors (see below), whose sum is σ = 176582592. Its totient is φ = 25772544.

The previous prime is 82767983. The next prime is 82768013. The reversal of 82768002 is 20086728.

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 15 ways as a sum of consecutive naturals, for example, 11013 + ... + 16935.

It is an arithmetic number, because the mean of its divisors is an integer number (5518206).

Almost surely, 2^82768002 is an apocalyptic number.

82768002 is an abundant number, since it is smaller than the sum of its proper divisors (93814590).

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

82768002 is a wasteful number, since it uses less digits than its factorization.

82768002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082.

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82768002 is about 9097.6921249293. The cubic root of 82768002 is about 435.8002655269.

The spelling of 82768002 in words is "eighty-two million, seven hundred sixty-eight thousand, two".