82785240000 has 980 divisors, whose sum is σ = 327836046384. Its totient is φ = 20653056000.

The previous prime is 82785239989. The next prime is 82785240011. The reversal of 82785240000 is 4258728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82785239989) and next prime (82785240011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 495719917 + ... + 495720083.

Almost surely, 2^82785240000 is an apocalyptic number.

82785240000 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 82785240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918023192).

82785240000 is an abundant number, since it is smaller than the sum of its proper divisors (245050806384).

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

82785240000 is an equidigital number, since it uses as much as digits as its factorization.

82785240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 82785240000 its reverse (4258728), we get a palindrome (82789498728).

The spelling of 82785240000 in words is "eighty-two billion, seven hundred eighty-five million, two hundred forty thousand".