78575883840 has 280 divisors, whose sum is σ = 280262731320. Its totient is φ = 20897021952.

The previous prime is 78575883809. The next prime is 78575883853. The reversal of 78575883840 is 4838857587.

78575883840 is a `hidden beast` number, since 7 + 8 + 5 + 7 + 588 + 3 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17799829056 + 60776054784 = 133416^2 + 246528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10078984 + ... + 10086776.

Almost surely, 2^78575883840 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 78575883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140131365660).

78575883840 is an abundant number, since it is smaller than the sum of its proper divisors (201686847480).

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

78575883840 is a wasteful number, since it uses less digits than its factorization.

78575883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8192 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 78575883840 in words is "seventy-eight billion, five hundred seventy-five million, eight hundred eighty-three thousand, eight hundred forty".