82785730560 has 576 divisors, whose sum is σ = 295948961280. Its totient is φ = 19629342720.

The previous prime is 82785730507. The next prime is 82785730561. The reversal of 82785730560 is 6503758728.

It is not an unprimeable number, because it can be changed into a prime (82785730561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047920601 + ... + 1047920679.

It is an arithmetic number, because the mean of its divisors is an integer number (513800280).

Almost surely, 2^82785730560 is an apocalyptic number.

82785730560 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 82785730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147974480640).

82785730560 is an abundant number, since it is smaller than the sum of its proper divisors (213163230720).

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

82785730560 is an equidigital number, since it uses as much as digits as its factorization.

82785730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 82785730560 in words is "eighty-two billion, seven hundred eighty-five million, seven hundred thirty thousand, five hundred sixty".