7789770720 has 144 divisors (see below), whose sum is σ = 26627825952. Its totient is φ = 2073738240.

The previous prime is 7789770713. The next prime is 7789770731. The reversal of 7789770720 is 270779877.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904354 + ... + 912926.

It is an arithmetic number, because the mean of its divisors is an integer number (184915458).

Almost surely, 2^7789770720 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 7789770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313912976).

7789770720 is an abundant number, since it is smaller than the sum of its proper divisors (18838055232).

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

7789770720 is a wasteful number, since it uses less digits than its factorization.

7789770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 2420208, while the sum is 54.

The square root of 7789770720 is about 88259.6777696361. The cubic root of 7789770720 is about 1982.3251533671.

The spelling of 7789770720 in words is "seven billion, seven hundred eighty-nine million, seven hundred seventy thousand, seven hundred twenty".