7696805760 has 1024 divisors, whose sum is σ = 34898688000. Its totient is φ = 1560674304.

The previous prime is 7696805713. The next prime is 7696805771. The reversal of 7696805760 is 675086967.

It is a happy number.

7696805760 is a `hidden beast` number, since 7 + 6 + 9 + 68 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7696805697 and 7696805706.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 39069982 + ... + 39070178.

It is an arithmetic number, because the mean of its divisors is an integer number (34080750).

Almost surely, 2^7696805760 is an apocalyptic number.

7696805760 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 7696805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449344000).

7696805760 is an abundant number, since it is smaller than the sum of its proper divisors (27201882240).

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

7696805760 is a wasteful number, since it uses less digits than its factorization.

7696805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7696805760 is about 87731.4411143462. The cubic root of 7696805760 is about 1974.4077279752.

The spelling of 7696805760 in words is "seven billion, six hundred ninety-six million, eight hundred five thousand, seven hundred sixty".