7681302720 has 1008 divisors, whose sum is σ = 34149548160. Its totient is φ = 1569964032.

The previous prime is 7681302679. The next prime is 7681302751. The reversal of 7681302720 is 272031867.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×7681302720² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97231641 + ... + 97231719.

It is an arithmetic number, because the mean of its divisors is an integer number (33878520).

Almost surely, 2^7681302720 is an apocalyptic number.

7681302720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7681302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074774080).

7681302720 is an abundant number, since it is smaller than the sum of its proper divisors (26468245440).

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

7681302720 is a wasteful number, since it uses less digits than its factorization.

7681302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

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

The square root of 7681302720 is about 87643.0414807702. The cubic root of 7681302720 is about 1973.0812081503.

The spelling of 7681302720 in words is "seven billion, six hundred eighty-one million, three hundred two thousand, seven hundred twenty".