78478585174080 has 2688 divisors, whose sum is σ = 347965922304000. Its totient is φ = 15791475916800.

The previous prime is 78478585174039. The next prime is 78478585174081. The reversal of 78478585174080 is 8047158587487.

78478585174080 is a `hidden beast` number, since 7 + 8 + 478 + 5 + 8 + 5 + 1 + 74 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (78478585174081) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291741952186 + ... + 291741952454.

It is an arithmetic number, because the mean of its divisors is an integer number (129451608000).

Almost surely, 2^{78478585174080} is an apocalyptic number.

78478585174080 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 78478585174080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173982961152000).

78478585174080 is an abundant number, since it is smaller than the sum of its proper divisors (269487337129920).

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

78478585174080 is a wasteful number, since it uses less digits than its factorization.

78478585174080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 561971200, while the sum is 72.

The spelling of 78478585174080 in words is "seventy-eight trillion, four hundred seventy-eight billion, five hundred eighty-five million, one hundred seventy-four thousand, eighty".