8630720800 has 72 divisors (see below), whose sum is σ = 22690524276. Its totient is φ = 3186723840.

The previous prime is 8630720729. The next prime is 8630720807. The reversal of 8630720800 is 80270368.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1159538704 + 7471182096 = 34052^2 + 86436^2 .

It is not an unprimeable number, because it can be changed into a prime (8630720807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404539 + ... + 425338.

Almost surely, 2^8630720800 is an apocalyptic number.

8630720800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8630720800 is an abundant number, since it is smaller than the sum of its proper divisors (14059803476).

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

8630720800 is a wasteful number, since it uses less digits than its factorization.

8630720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829910 (or 829897 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 8630720800 is about 92901.6727513558. The cubic root of 8630720800 is about 2051.2362798751.

The spelling of 8630720800 in words is "eight billion, six hundred thirty million, seven hundred twenty thousand, eight hundred".