78234600960 has 240 divisors, whose sum is σ = 273092092416. Its totient is φ = 20697513984.

The previous prime is 78234600943. The next prime is 78234600973. The reversal of 78234600960 is 6900643287.

78234600960 is a `hidden beast` number, since 7 + 8 + 2 + 34 + 600 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78234600960² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2912712 + ... + 2939448.

Almost surely, 2^78234600960 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 78234600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136546046208).

78234600960 is an abundant number, since it is smaller than the sum of its proper divisors (194857491456).

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

78234600960 is a wasteful number, since it uses less digits than its factorization.

78234600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26893 (or 26874 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 78234600960 in words is "seventy-eight billion, two hundred thirty-four million, six hundred thousand, nine hundred sixty".