78703849635840 has 1800 divisors, whose sum is σ = 332850828714768. Its totient is φ = 17612050268160.

The previous prime is 78703849635823. The next prime is 78703849635857. The reversal of 78703849635840 is 4853694830787.

78703849635840 is a `hidden beast` number, since 7 + 8 + 7 + 0 + 38 + 4 + 9 + 6 + 3 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (78703849635823) and next prime (78703849635857).

It is a super-2 number, since 2×78703849635840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6054142279674 + ... + 6054142279686.

Almost surely, 2^{78703849635840} 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 78703849635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166425414357384).

78703849635840 is an abundant number, since it is smaller than the sum of its proper divisors (254146979078928).

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

78703849635840 is an frugal number, since it uses more digits than its factorization.

78703849635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 78703849635840 in words is "seventy-eight trillion, seven hundred three billion, eight hundred forty-nine million, six hundred thirty-five thousand, eight hundred forty".