7630200 has 144 divisors (see below), whose sum is σ = 26743080. Its totient is φ = 2021760.

The previous prime is 7630199. The next prime is 7630201. The reversal of 7630200 is 20367.

It is an interprime number because it is at equal distance from previous prime (7630199) and next prime (7630201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7630201) 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 35 ways as a sum of consecutive naturals, for example, 48522 + ... + 48678.

Almost surely, 2^7630200 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 7630200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371540).

7630200 is an abundant number, since it is smaller than the sum of its proper divisors (19112880).

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

7630200 is a wasteful number, since it uses less digits than its factorization.

7630200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

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

The square root of 7630200 is about 2762.2816655801. The cubic root of 7630200 is about 196.8695916882.

Adding to 7630200 its reverse (20367), we get a palindrome (7650567).

It can be divided in two parts, 76 and 30200, that added together give a square (30276 = 174²).

The spelling of 7630200 in words is "seven million, six hundred thirty thousand, two hundred".