7720312680 has 96 divisors (see below), whose sum is σ = 26566979400. Its totient is φ = 1937645568.

The previous prime is 7720312679. The next prime is 7720312703. The reversal of 7720312680 is 862130277.

It can be written as a sum of positive squares in 4 ways, for example, as 6143110884 + 1577201796 = 78378^2 + 39714^2 .

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

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, 624625 + ... + 636864.

Almost surely, 2^7720312680 is an apocalyptic number.

It is an amenable number.

7720312680 is an abundant number, since it is smaller than the sum of its proper divisors (18846666720).

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

7720312680 is a wasteful number, since it uses less digits than its factorization.

7720312680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261523 (or 1261516 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7720312680 is about 87865.3098782449. The cubic root of 7720312680 is about 1976.4157070658.

It can be divided in two parts, 7720 and 312680, that added together give a triangular number (320400 = T₈₀₀).

The spelling of 7720312680 in words is "seven billion, seven hundred twenty million, three hundred twelve thousand, six hundred eighty".