630730800 has 480 divisors, whose sum is σ = 2622530560. Its totient is φ = 142767360.

The previous prime is 630730781. The next prime is 630730819. The reversal of 630730800 is 8037036.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (630730781) and next prime (630730819).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123549 + ... + 6123651.

Almost surely, 2^630730800 is an apocalyptic number.

630730800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311265280).

630730800 is an abundant number, since it is smaller than the sum of its proper divisors (1991799760).

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

630730800 is a wasteful number, since it uses less digits than its factorization.

630730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 630730800 is about 25114.3544611443. The cubic root of 630730800 is about 857.5932347405.

Adding to 630730800 its reverse (8037036), we get a palindrome (638767836).

The spelling of 630730800 in words is "six hundred thirty million, seven hundred thirty thousand, eight hundred".