78947608320 has 1296 divisors, whose sum is σ = 354962593440. Its totient is φ = 16052649984.

The previous prime is 78947608273. The next prime is 78947608379. The reversal of 78947608320 is 2380674987.

78947608320 is a `hidden beast` number, since 7 + 8 + 9 + 4 + 7 + 608 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182326824 + ... + 182327256.

It is an arithmetic number, because the mean of its divisors is an integer number (273890890).

Almost surely, 2^78947608320 is an apocalyptic number.

78947608320 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 78947608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177481296720).

78947608320 is an abundant number, since it is smaller than the sum of its proper divisors (276014985120).

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

78947608320 is a wasteful number, since it uses less digits than its factorization.

78947608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 78947608320 in words is "seventy-eight billion, nine hundred forty-seven million, six hundred eight thousand, three hundred twenty".