78782845363200 has 528 divisors, whose sum is σ = 315613857366720. Its totient is φ = 19098869760000.

The previous prime is 78782845363169. The next prime is 78782845363231. The reversal of 78782845363200 is 236354828787.

78782845363200 is a `hidden beast` number, since 7 + 8 + 7 + 8 + 28 + 45 + 363 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (78782845363169) and next prime (78782845363231).

It is a tau number, because it is divible by the number of its divisors (528).

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, 2422300 + ... + 12784100.

It is an arithmetic number, because the mean of its divisors is an integer number (597753517740).

Almost surely, 2^{78782845363200} 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 78782845363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157806928683360).

78782845363200 is an abundant number, since it is smaller than the sum of its proper divisors (236831012003520).

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

78782845363200 is a wasteful number, since it uses less digits than its factorization.

78782845363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361851 (or 10361822 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 78782845363200 in words is "seventy-eight trillion, seven hundred eighty-two billion, eight hundred forty-five million, three hundred sixty-three thousand, two hundred".