7730224020 has 216 divisors, whose sum is σ = 25076921688. Its totient is φ = 1927065600.

The previous prime is 7730224013. The next prime is 7730224027. The reversal of 7730224020 is 204220377.

It is an interprime number because it is at equal distance from previous prime (7730224013) and next prime (7730224027).

It can be written as a sum of positive squares in 12 ways, for example, as 2654516484 + 5075707536 = 51522^2 + 71244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7730224027) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9415210 + ... + 9416030.

Almost surely, 2^7730224020 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 7730224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538460844).

7730224020 is an abundant number, since it is smaller than the sum of its proper divisors (17346697668).

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

7730224020 is a wasteful number, since it uses less digits than its factorization.

7730224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 7730224020 is about 87921.6925451279. The cubic root of 7730224020 is about 1977.2611197704.

Adding to 7730224020 its reverse (204220377), we get a palindrome (7934444397).

The spelling of 7730224020 in words is "seven billion, seven hundred thirty million, two hundred twenty-four thousand, twenty".