7720319680 has 224 divisors, whose sum is σ = 19770791040. Its totient is φ = 2866053120.

The previous prime is 7720319671. The next prime is 7720319707. The reversal of 7720319680 is 869130277.

It is a happy number.

It is a super-2 number, since 2×7720319680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39189342 + ... + 39189538.

It is an arithmetic number, because the mean of its divisors is an integer number (88262460).

Almost surely, 2^7720319680 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 7720319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885395520).

7720319680 is an abundant number, since it is smaller than the sum of its proper divisors (12050471360).

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

7720319680 is a wasteful number, since it uses less digits than its factorization.

7720319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 7720319680 is about 87865.3497119314. The cubic root of 7720319680 is about 1976.4163044037.

The spelling of 7720319680 in words is "seven billion, seven hundred twenty million, three hundred nineteen thousand, six hundred eighty".