8201478978 has 432 divisors, whose sum is σ = 24447451392. Its totient is φ = 1975881600.

The previous prime is 8201478977. The next prime is 8201479003. The reversal of 8201478978 is 8798741028.

It is a happy number.

8201478978 is a `hidden beast` number, since 82 + 0 + 1 + 478 + 97 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (8201478977) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 122410101 + ... + 122410167.

Almost surely, 2^8201478978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201478978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223725696).

8201478978 is an abundant number, since it is smaller than the sum of its proper divisors (16245972414).

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

8201478978 is a wasteful number, since it uses less digits than its factorization.

8201478978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 8201478978 is about 90562.0173030614. The cubic root of 8201478978 is about 2016.6509038254.

The spelling of 8201478978 in words is "eight billion, two hundred one million, four hundred seventy-eight thousand, nine hundred seventy-eight".