76000200 has 96 divisors (see below), whose sum is σ = 249492960. Its totient is φ = 19072000.

The previous prime is 76000193. The next prime is 76000207. The reversal of 76000200 is 200067.

It is an interprime number because it is at equal distance from previous prime (76000193) and next prime (76000207).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 76000200.

It is not an unprimeable number, because it can be changed into a prime (76000207) 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 23 ways as a sum of consecutive naturals, for example, 6475 + ... + 13925.

It is an arithmetic number, because the mean of its divisors is an integer number (2598885).

Almost surely, 2^76000200 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 76000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124746480).

76000200 is an abundant number, since it is smaller than the sum of its proper divisors (173492760).

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

76000200 is a wasteful number, since it uses less digits than its factorization.

76000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7487 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 76000200 is about 8717.8093578605. The cubic root of 76000200 is about 423.5827299886.

Adding to 76000200 its reverse (200067), we get a palindrome (76200267).

The spelling of 76000200 in words is "seventy-six million, two hundred", and thus it is an aban number.