78945684480 has 616 divisors, whose sum is σ = 305964958992. Its totient is φ = 19420839936.

The previous prime is 78945684469. The next prime is 78945684487. The reversal of 78945684480 is 8448654987.

78945684480 is a `hidden beast` number, since 7 + 8 + 94 + 5 + 68 + 4 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78945684487) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48521427 + ... + 48523053.

It is an arithmetic number, because the mean of its divisors is an integer number (496696362).

Almost surely, 2^78945684480 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 78945684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152982479496).

78945684480 is an abundant number, since it is smaller than the sum of its proper divisors (227019274512).

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

78945684480 is a wasteful number, since it uses less digits than its factorization.

78945684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 78945684480 in words is "seventy-eight billion, nine hundred forty-five million, six hundred eighty-four thousand, four hundred eighty".