78822509057280 has 864 divisors, whose sum is σ = 292160558944800. Its totient is φ = 19551221710848.

The previous prime is 78822509057189. The next prime is 78822509057311. The reversal of 78822509057280 is 8275090522887.

78822509057280 is a `hidden beast` number, since 7 + 8 + 8 + 2 + 2 + 50 + 9 + 0 + 572 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1538155570176 + 77284353487104 = 1240224^2 + 8791152^2 .

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6144081906 + ... + 6144094734.

It is an arithmetic number, because the mean of its divisors is an integer number (338148795075).

Almost surely, 2^{78822509057280} 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 78822509057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146080279472400).

78822509057280 is an abundant number, since it is smaller than the sum of its proper divisors (213338049887520).

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

78822509057280 is a wasteful number, since it uses less digits than its factorization.

78822509057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13239 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 78822509057280 in words is "seventy-eight trillion, eight hundred twenty-two billion, five hundred nine million, fifty-seven thousand, two hundred eighty".