8769461760 has 560 divisors, whose sum is σ = 32631768576. Its totient is φ = 2257403904.

The previous prime is 8769461741. The next prime is 8769461807. The reversal of 8769461760 is 671649678.

It is a happy number.

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 = 8769461697 and 8769461706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69050817 + ... + 69050943.

Almost surely, 2^8769461760 is an apocalyptic number.

8769461760 is a gapful number since it is divisible by the number (80) 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 8769461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315884288).

8769461760 is an abundant number, since it is smaller than the sum of its proper divisors (23862306816).

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

8769461760 is an equidigital number, since it uses as much as digits as its factorization.

8769461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8769461760 is about 93645.4043720246. The cubic root of 8769461760 is about 2062.1692798647.

The spelling of 8769461760 in words is "eight billion, seven hundred sixty-nine million, four hundred sixty-one thousand, seven hundred sixty".