78834324240 has 960 divisors, whose sum is σ = 332175168000. Its totient is φ = 16695963648.

The previous prime is 78834324161. The next prime is 78834324251. The reversal of 78834324240 is 4242343887.

78834324240 is a `hidden beast` number, since 7 + 8 + 83 + 4 + 324 + 240 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 248688562 + ... + 248688878.

It is an arithmetic number, because the mean of its divisors is an integer number (346015800).

Almost surely, 2^78834324240 is an apocalyptic number.

78834324240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78834324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166087584000).

78834324240 is an abundant number, since it is smaller than the sum of its proper divisors (253340843760).

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

78834324240 is a wasteful number, since it uses less digits than its factorization.

78834324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 78834324240 in words is "seventy-eight billion, eight hundred thirty-four million, three hundred twenty-four thousand, two hundred forty".