76300200 has 288 divisors, whose sum is σ = 284356800. Its totient is φ = 18247680.

The previous prime is 76300187. The next prime is 76300201. The reversal of 76300200 is 200367.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (76300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 786552 + ... + 786648.

It is an arithmetic number, because the mean of its divisors is an integer number (987350).

Almost surely, 2^76300200 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 76300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142178400).

76300200 is an abundant number, since it is smaller than the sum of its proper divisors (208056600).

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

76300200 is a wasteful number, since it uses less digits than its factorization.

76300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 76300200 is about 8734.9985689753. The cubic root of 76300200 is about 424.1393424775.

Adding to 76300200 its reverse (200367), we get a palindrome (76500567).

The spelling of 76300200 in words is "seventy-six million, three hundred thousand, two hundred".