82672350784 has 63 divisors (see below), whose sum is σ = 165941230347. Its totient is φ = 40865779584.

The previous prime is 82672350767. The next prime is 82672350809. The reversal of 82672350784 is 48705327628.

It is a happy number.

The square root of 82672350784 is 287528.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 292128307 + ... + 292128589.

Almost surely, 2^82672350784 is an apocalyptic number.

82672350784 is the 287528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82672350784

82672350784 is an abundant number, since it is smaller than the sum of its proper divisors (83268879563).

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

82672350784 is an frugal number, since it uses more digits than its factorization.

82672350784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 82672350784 in words is "eighty-two billion, six hundred seventy-two million, three hundred fifty thousand, seven hundred eighty-four".