7966781760 has 448 divisors, whose sum is σ = 30150328320. Its totient is φ = 1744035840.

The previous prime is 7966781749. The next prime is 7966781827. The reversal of 7966781760 is 671876697.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×7966781760² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7966781760.

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 63 ways as a sum of consecutive naturals, for example, 34789326 + ... + 34789554.

It is an arithmetic number, because the mean of its divisors is an integer number (67299840).

Almost surely, 2^7966781760 is an apocalyptic number.

7966781760 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 7966781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15075164160).

7966781760 is an abundant number, since it is smaller than the sum of its proper divisors (22183546560).

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

7966781760 is a wasteful number, since it uses less digits than its factorization.

7966781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 7966781760 is about 89256.8303268719. The cubic root of 7966781760 is about 1997.2279730417.

The spelling of 7966781760 in words is "seven billion, nine hundred sixty-six million, seven hundred eighty-one thousand, seven hundred sixty".