82407060200 has 24 divisors (see below), whose sum is σ = 191596415430. Its totient is φ = 32962824000.

The previous prime is 82407060173. The next prime is 82407060217. The reversal of 82407060200 is 206070428.

It can be written as a sum of positive squares in 3 ways, for example, as 64689852964 + 17717207236 = 254342^2 + 133106^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 206017451 + ... + 206017850.

Almost surely, 2^82407060200 is an apocalyptic number.

It is an amenable number.

82407060200 is an abundant number, since it is smaller than the sum of its proper divisors (109189355230).

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

82407060200 is a wasteful number, since it uses less digits than its factorization.

82407060200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412035317 (or 412035308 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 82407060200 in words is "eighty-two billion, four hundred seven million, sixty thousand, two hundred".