78839025408 has 864 divisors, whose sum is σ = 286430135040. Its totient is φ = 21084364800.

The previous prime is 78839025403. The next prime is 78839025409. The reversal of 78839025408 is 80452093887.

It is a happy number.

78839025408 is a `hidden beast` number, since 7 + 8 + 8 + 3 + 90 + 2 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78839025403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949867735 + ... + 949867817.

It is an arithmetic number, because the mean of its divisors is an integer number (331516360).

Almost surely, 2^78839025408 is an apocalyptic number.

78839025408 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 78839025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143215067520).

78839025408 is an abundant number, since it is smaller than the sum of its proper divisors (207591109632).

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

78839025408 is a wasteful number, since it uses less digits than its factorization.

78839025408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 78839025408 in words is "seventy-eight billion, eight hundred thirty-nine million, twenty-five thousand, four hundred eight".