82707413870800 has 240 divisors, whose sum is σ = 210846594440880. Its totient is φ = 31069846241280.

The previous prime is 82707413870773. The next prime is 82707413870827. The reversal of 82707413870800 is 807831470728.

It is an interprime number because it is at equal distance from previous prime (82707413870773) and next prime (82707413870827).

It can be written as a sum of positive squares in 24 ways, for example, as 69124857426496 + 13582556444304 = 8314136^2 + 3685452^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10224673156 + ... + 10224681244.

It is an arithmetic number, because the mean of its divisors is an integer number (878527476837).

Almost surely, 2^{82707413870800} is an apocalyptic number.

82707413870800 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 82707413870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105423297220440).

82707413870800 is an abundant number, since it is smaller than the sum of its proper divisors (128139180570080).

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

82707413870800 is a wasteful number, since it uses less digits than its factorization.

82707413870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 55.

The spelling of 82707413870800 in words is "eighty-two trillion, seven hundred seven billion, four hundred thirteen million, eight hundred seventy thousand, eight hundred".