8729804160 has 768 divisors, whose sum is σ = 39028953600. Its totient is φ = 1813985280.

The previous prime is 8729804159. The next prime is 8729804177. The reversal of 8729804160 is 614089278.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 793618555 + ... + 793618565.

It is an arithmetic number, because the mean of its divisors is an integer number (50818950).

Almost surely, 2^8729804160 is an apocalyptic number.

8729804160 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 8729804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514476800).

8729804160 is an abundant number, since it is smaller than the sum of its proper divisors (30299149440).

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

8729804160 is an frugal number, since it uses more digits than its factorization.

8729804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8729804160 is about 93433.4210012670. The cubic root of 8729804160 is about 2059.0560415768.

The spelling of 8729804160 in words is "eight billion, seven hundred twenty-nine million, eight hundred four thousand, one hundred sixty".