78017640480 has 768 divisors, whose sum is σ = 311240724480. Its totient is φ = 18114969600.

The previous prime is 78017640469. The next prime is 78017640499. The reversal of 78017640480 is 8404671087.

78017640480 is a `hidden beast` number, since 78 + 0 + 176 + 404 + 8 + 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 127 ways as a sum of consecutive naturals, for example, 71378814 + ... + 71379906.

It is an arithmetic number, because the mean of its divisors is an integer number (405261360).

Almost surely, 2^78017640480 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 78017640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155620362240).

78017640480 is an abundant number, since it is smaller than the sum of its proper divisors (233223084000).

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

78017640480 is a wasteful number, since it uses less digits than its factorization.

78017640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 78017640480 in words is "seventy-eight billion, seventeen million, six hundred forty thousand, four hundred eighty".