78621312382704 has 1920 divisors, whose sum is σ = 306613975449600. Its totient is φ = 18227939328000.

The previous prime is 78621312382631. The next prime is 78621312382721. The reversal of 78621312382704 is 40728321312687.

It is a happy number.

78621312382704 is a `hidden beast` number, since 7 + 8 + 6 + 2 + 131 + 238 + 270 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18670459159 + ... + 18670463369.

It is an arithmetic number, because the mean of its divisors is an integer number (159694778880).

Almost surely, 2^{78621312382704} 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 78621312382704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153306987724800).

78621312382704 is an abundant number, since it is smaller than the sum of its proper divisors (227992663066896).

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

78621312382704 is a wasteful number, since it uses less digits than its factorization.

78621312382704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 78621312382704 in words is "seventy-eight trillion, six hundred twenty-one billion, three hundred twelve million, three hundred eighty-two thousand, seven hundred four".