7830720000 has 300 divisors, whose sum is σ = 28251331680. Its totient is φ = 2087424000.

The previous prime is 7830719977. The next prime is 7830720017. The reversal of 7830720000 is 270387.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×7830720000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2878641 + ... + 2881359.

Almost surely, 2^7830720000 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 7830720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14125665840).

7830720000 is an abundant number, since it is smaller than the sum of its proper divisors (20420611680).

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

7830720000 is an equidigital number, since it uses as much as digits as its factorization.

7830720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7830720000 is about 88491.3555100158. The cubic root of 7830720000 is about 1985.7926478844.

Adding to 7830720000 its reverse (270387), we get a palindrome (7830990387).

The spelling of 7830720000 in words is "seven billion, eight hundred thirty million, seven hundred twenty thousand".