76198272200 has 108 divisors (see below), whose sum is σ = 179729866995. Its totient is φ = 30043644800.

The previous prime is 76198272173. The next prime is 76198272203. The reversal of 76198272200 is 227289167.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3232377316 + 72965894884 = 56854^2 + 270122^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=195190.

It is not an unprimeable number, because it can be changed into a prime (76198272203) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 511397726 + ... + 511397874.

Almost surely, 2^76198272200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76198272200

76198272200 is an abundant number, since it is smaller than the sum of its proper divisors (103531594795).

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

76198272200 is a wasteful number, since it uses less digits than its factorization.

76198272200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 76198272200 in words is "seventy-six billion, one hundred ninety-eight million, two hundred seventy-two thousand, two hundred".