84760200 has 324 divisors, whose sum is σ = 342153045. Its totient is φ = 18748800.

The previous prime is 84760199. The next prime is 84760201. The reversal of 84760200 is 206748.

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 is an interprime number because it is at equal distance from previous prime (84760199) and next prime (84760201).

It can be written as a sum of positive squares in 2 ways, for example, as 83064996 + 1695204 = 9114^2 + 1302^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6510.

It is not an unprimeable number, because it can be changed into a prime (84760201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2734185 + ... + 2734215.

Almost surely, 2^84760200 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 84760200

84760200 is an abundant number, since it is smaller than the sum of its proper divisors (257392845).

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

84760200 is a wasteful number, since it uses less digits than its factorization.

84760200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 84760200 is about 9206.5302910488. The cubic root of 84760200 is about 439.2691033633.

Adding to 84760200 its reverse (206748), we get a palindrome (84966948).

The spelling of 84760200 in words is "eighty-four million, seven hundred sixty thousand, two hundred".