8285729760 has 1440 divisors, whose sum is σ = 40149914112. Its totient is φ = 1560176640.

The previous prime is 8285729759. The next prime is 8285729839. The reversal of 8285729760 is 679275828.

It is a happy number.

8285729760 is a `hidden beast` number, since 8 + 2 + 8 + 572 + 9 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 8285729697 and 8285729706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 360249109 + ... + 360249131.

Almost surely, 2^8285729760 is an apocalyptic number.

8285729760 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 8285729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20074957056).

8285729760 is an abundant number, since it is smaller than the sum of its proper divisors (31864184352).

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

8285729760 is a wasteful number, since it uses less digits than its factorization.

8285729760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8285729760 is about 91025.9839825970. The cubic root of 8285729760 is about 2023.5328302549.

The spelling of 8285729760 in words is "eight billion, two hundred eighty-five million, seven hundred twenty-nine thousand, seven hundred sixty".