78840635040 has 192 divisors, whose sum is σ = 281814059520. Its totient is φ = 20576793600.

The previous prime is 78840635017. The next prime is 78840635051. The reversal of 78840635040 is 4053604887.

78840635040 is a `hidden beast` number, since 7 + 8 + 8 + 4 + 0 + 635 + 0 + 4 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 8890 + ... + 397190.

It is an arithmetic number, because the mean of its divisors is an integer number (1467781560).

Almost surely, 2^78840635040 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 78840635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140907029760).

78840635040 is an abundant number, since it is smaller than the sum of its proper divisors (202973424480).

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

78840635040 is a wasteful number, since it uses less digits than its factorization.

78840635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388372 (or 388358 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 78840635040 in words is "seventy-eight billion, eight hundred forty million, six hundred thirty-five thousand, forty".