8736791760 has 80 divisors (see below), whose sum is σ = 30093401280. Its totient is φ = 2329810560.

The previous prime is 8736791747. The next prime is 8736791761. The reversal of 8736791760 is 671976378.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 8736791697 and 8736791706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8736791761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2020246 + ... + 2024565.

It is an arithmetic number, because the mean of its divisors is an integer number (376167516).

Almost surely, 2^8736791760 is an apocalyptic number.

8736791760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8736791760 is an abundant number, since it is smaller than the sum of its proper divisors (21356609520).

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

8736791760 is a wasteful number, since it uses less digits than its factorization.

8736791760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044833 (or 4044821 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 8736791760 is about 93470.8069934137. The cubic root of 8736791760 is about 2059.6052720296.

The spelling of 8736791760 in words is "eight billion, seven hundred thirty-six million, seven hundred ninety-one thousand, seven hundred sixty".