82742304 has 24 divisors (see below), whose sum is σ = 217198800. Its totient is φ = 27580736.

The previous prime is 82742251. The next prime is 82742311. The reversal of 82742304 is 40324728.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 430854 + ... + 431045.

It is an arithmetic number, because the mean of its divisors is an integer number (9049950).

Almost surely, 2^82742304 is an apocalyptic number.

It is an amenable number.

82742304 is an abundant number, since it is smaller than the sum of its proper divisors (134456496).

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

82742304 is a wasteful number, since it uses less digits than its factorization.

82742304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861912 (or 861904 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 82742304 is about 9096.2796790776. The cubic root of 82742304 is about 435.7551581013.

The spelling of 82742304 in words is "eighty-two million, seven hundred forty-two thousand, three hundred four".