78257261304 has 192 divisors, whose sum is σ = 232211715840. Its totient is φ = 23702077440.

The previous prime is 78257261293. The next prime is 78257261323. The reversal of 78257261304 is 40316275287.

78257261304 is a `hidden beast` number, since 7 + 8 + 25 + 7 + 2 + 613 + 0 + 4 = 666.

It is a super-2 number, since 2×78257261304² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78257261304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17338152 + ... + 17342664.

It is an arithmetic number, because the mean of its divisors is an integer number (1209436020).

Almost surely, 2^78257261304 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 78257261304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116105857920).

78257261304 is an abundant number, since it is smaller than the sum of its proper divisors (153954454536).

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

78257261304 is a wasteful number, since it uses less digits than its factorization.

78257261304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 78257261304 in words is "seventy-eight billion, two hundred fifty-seven million, two hundred sixty-one thousand, three hundred four".