78311334240 has 72 divisors (see below), whose sum is σ = 267237433008. Its totient is φ = 20883022080.

The previous prime is 78311334229. The next prime is 78311334253. The reversal of 78311334240 is 4243311387.

78311334240 is a `hidden beast` number, since 7 + 8 + 311 + 334 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×78311334240⁴ (a number of 45 digits) contains 4444 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 78311334195 and 78311334204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27189996 + ... + 27192875.

It is an arithmetic number, because the mean of its divisors is an integer number (3711631014).

Almost surely, 2^78311334240 is an apocalyptic number.

It is an amenable number.

78311334240 is an abundant number, since it is smaller than the sum of its proper divisors (188926098768).

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

78311334240 is a wasteful number, since it uses less digits than its factorization.

78311334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54382892 (or 54382881 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 78311334240 in words is "seventy-eight billion, three hundred eleven million, three hundred thirty-four thousand, two hundred forty".