82760933124 has 27 divisors (see below), whose sum is σ = 209205610887. Its totient is φ = 27586402344.

The previous prime is 82760933113. The next prime is 82760933141. The reversal of 82760933124 is 42133906728.

The square root of 82760933124 is 287682.

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

82760933124 is a `hidden beast` number, since 8 + 2 + 7 + 609 + 3 + 31 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82760933124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1702119 + ... + 1750065.

Almost surely, 2^82760933124 is an apocalyptic number.

82760933124 is the 287682-nd square number.

It is an amenable number.

82760933124 is an abundant number, since it is smaller than the sum of its proper divisors (126444677763).

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

82760933124 is an frugal number, since it uses more digits than its factorization.

82760933124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95904 (or 47952 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 82760933124 in words is "eighty-two billion, seven hundred sixty million, nine hundred thirty-three thousand, one hundred twenty-four".