82373999760 has 200 divisors, whose sum is σ = 308104889400. Its totient is φ = 20276656128.

The previous prime is 82373999731. The next prime is 82373999801. The reversal of 82373999760 is 6799937328.

82373999760 is a `hidden beast` number, since 8 + 237 + 399 + 9 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3363536016 + 79010463744 = 57996^2 + 281088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 404685 + ... + 573164.

It is an arithmetic number, because the mean of its divisors is an integer number (1540524447).

Almost surely, 2^82373999760 is an apocalyptic number.

82373999760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82373999760 is an abundant number, since it is smaller than the sum of its proper divisors (225730889640).

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

82373999760 is a wasteful number, since it uses less digits than its factorization.

82373999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977887 (or 977872 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 82373999760 in words is "eighty-two billion, three hundred seventy-three million, nine hundred ninety-nine thousand, seven hundred sixty".