7696616760 has 768 divisors, whose sum is σ = 31701196800. Its totient is φ = 1642291200.

The previous prime is 7696616749. The next prime is 7696616779. The reversal of 7696616760 is 676166967.

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 = 7696616697 and 7696616706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86478796 + ... + 86478884.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^7696616760 is an apocalyptic number.

7696616760 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 7696616760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850598400).

7696616760 is an abundant number, since it is smaller than the sum of its proper divisors (24004580040).

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

7696616760 is a wasteful number, since it uses less digits than its factorization.

7696616760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7696616760 is about 87730.3639568422. The cubic root of 7696616760 is about 1974.3915668937.

The spelling of 7696616760 in words is "seven billion, six hundred ninety-six million, six hundred sixteen thousand, seven hundred sixty".