78846213888 has 648 divisors, whose sum is σ = 266966333088. Its totient is φ = 23057768448.

The previous prime is 78846213881. The next prime is 78846213899. The reversal of 78846213888 is 88831264887.

78846213888 is a `hidden beast` number, since 7 + 88 + 462 + 13 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78846213881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 502205106 + ... + 502205262.

Almost surely, 2^78846213888 is an apocalyptic number.

78846213888 is a gapful number since it is divisible by the number (78) 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 78846213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133483166544).

78846213888 is an abundant number, since it is smaller than the sum of its proper divisors (188120119200).

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

78846213888 is an equidigital number, since it uses as much as digits as its factorization.

78846213888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The spelling of 78846213888 in words is "seventy-eight billion, eight hundred forty-six million, two hundred thirteen thousand, eight hundred eighty-eight".