78256174304 has 192 divisors, whose sum is σ = 202613322240. Its totient is φ = 28824698880.

The previous prime is 78256174237. The next prime is 78256174313. The reversal of 78256174304 is 40347165287.

It is a super-2 number, since 2×78256174304² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27011384 + ... + 27014280.

It is an arithmetic number, because the mean of its divisors is an integer number (1055277720).

Almost surely, 2^78256174304 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 78256174304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101306661120).

78256174304 is an abundant number, since it is smaller than the sum of its proper divisors (124357147936).

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

78256174304 is a wasteful number, since it uses less digits than its factorization.

78256174304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The spelling of 78256174304 in words is "seventy-eight billion, two hundred fifty-six million, one hundred seventy-four thousand, three hundred four".