78357839616 has 720 divisors, whose sum is σ = 284917248000. Its totient is φ = 21369858048.

The previous prime is 78357839603. The next prime is 78357839627. The reversal of 78357839616 is 61693875387.

78357839616 is a `hidden beast` number, since 7 + 8 + 3 + 5 + 7 + 8 + 3 + 9 + 616 = 666.

It is a super-3 number, since 3×78357839616³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163586065 + ... + 163586543.

It is an arithmetic number, because the mean of its divisors is an integer number (395718400).

Almost surely, 2^78357839616 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 78357839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624000).

78357839616 is an abundant number, since it is smaller than the sum of its proper divisors (206559408384).

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

78357839616 is an equidigital number, since it uses as much as digits as its factorization.

78357839616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 514 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 78357839616 in words is "seventy-eight billion, three hundred fifty-seven million, eight hundred thirty-nine thousand, six hundred sixteen".