7720799760 has 120 divisors (see below), whose sum is σ = 25944898200. Its totient is φ = 2057619456.

The previous prime is 7720799743. The next prime is 7720799791. The reversal of 7720799760 is 679970277.

It can be written as a sum of positive squares in 4 ways, for example, as 1103302656 + 6617497104 = 33216^2 + 81348^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7720799760² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7720799697 and 7720799706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193522 + ... + 2197038.

It is an arithmetic number, because the mean of its divisors is an integer number (216207485).

Almost surely, 2^7720799760 is an apocalyptic number.

It is an amenable number.

7720799760 is an abundant number, since it is smaller than the sum of its proper divisors (18224098440).

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

7720799760 is a wasteful number, since it uses less digits than its factorization.

7720799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6576 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The square root of 7720799760 is about 87868.0815768730. The cubic root of 7720799760 is about 1976.4572706811.

The spelling of 7720799760 in words is "seven billion, seven hundred twenty million, seven hundred ninety-nine thousand, seven hundred sixty".