82284387840 has 800 divisors, whose sum is σ = 313145243136. Its totient is φ = 20692869120.

The previous prime is 82284387839. The next prime is 82284387877. The reversal of 82284387840 is 4878348228.

82284387840 is a `hidden beast` number, since 82 + 28 + 438 + 78 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1158935005 + ... + 1158935075.

Almost surely, 2^82284387840 is an apocalyptic number.

82284387840 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 82284387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156572621568).

82284387840 is an abundant number, since it is smaller than the sum of its proper divisors (230860855296).

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

82284387840 is an frugal number, since it uses more digits than its factorization.

82284387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 82284387840 in words is "eighty-two billion, two hundred eighty-four million, three hundred eighty-seven thousand, eight hundred forty".