78453785419776 has 1568 divisors, whose sum is σ = 261201702558720. Its totient is φ = 23404763676672.

The previous prime is 78453785419753. The next prime is 78453785419873. The reversal of 78453785419776 is 67791458735487.

78453785419776 is a `hidden beast` number, since 7 + 8 + 4 + 5 + 378 + 54 + 197 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 78453785419695 and 78453785419704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 617746341825 + ... + 617746341951.

Almost surely, 2^{78453785419776} 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 78453785419776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130600851279360).

78453785419776 is an abundant number, since it is smaller than the sum of its proper divisors (182747917138944).

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

78453785419776 is a wasteful number, since it uses less digits than its factorization.

78453785419776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 327 counting only the distinct ones).

The product of its digits is 9957427200, while the sum is 81.

The spelling of 78453785419776 in words is "seventy-eight trillion, four hundred fifty-three billion, seven hundred eighty-five million, four hundred nineteen thousand, seven hundred seventy-six".