85782820608 has 180 divisors, whose sum is σ = 260127963480. Its totient is φ = 28109223936.

The previous prime is 85782820583. The next prime is 85782820609. The reversal of 85782820608 is 80602828758.

85782820608 is a `hidden beast` number, since 8 + 5 + 7 + 8 + 2 + 8 + 20 + 608 = 666.

It is a super-2 number, since 2×85782820608² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85782820609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1188366 + ... + 1258482.

Almost surely, 2^85782820608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85782820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130063981740).

85782820608 is an abundant number, since it is smaller than the sum of its proper divisors (174345142872).

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

85782820608 is an equidigital number, since it uses as much as digits as its factorization.

85782820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70204 (or 70181 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 85782820608 in words is "eighty-five billion, seven hundred eighty-two million, eight hundred twenty thousand, six hundred eight".