7785720000 has 560 divisors, whose sum is σ = 29280002400. Its totient is φ = 2052864000.

The previous prime is 7785719989. The next prime is 7785720013. The reversal of 7785720000 is 275877.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87479956 + ... + 87480044.

Almost surely, 2^7785720000 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 7785720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640001200).

7785720000 is an abundant number, since it is smaller than the sum of its proper divisors (21494282400).

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

7785720000 is an frugal number, since it uses more digits than its factorization.

7785720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 7785720000 is about 88236.7270471882. The cubic root of 7785720000 is about 1981.9814874369.

Adding to 7785720000 its reverse (275877), we get a palindrome (7785995877).

The spelling of 7785720000 in words is "seven billion, seven hundred eighty-five million, seven hundred twenty thousand".