78805883520 has 1536 divisors, whose sum is σ = 363022732800. Its totient is φ = 15288238080.

The previous prime is 78805883509. The next prime is 78805883543. The reversal of 78805883520 is 2538850887.

It is a happy number.

78805883520 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 588 + 3 + 52 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 408320544 + ... + 408320736.

It is an arithmetic number, because the mean of its divisors is an integer number (236342925).

Almost surely, 2^78805883520 is an apocalyptic number.

78805883520 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 78805883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181511366400).

78805883520 is an abundant number, since it is smaller than the sum of its proper divisors (284216849280).

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

78805883520 is a wasteful number, since it uses less digits than its factorization.

78805883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 78805883520 in words is "seventy-eight billion, eight hundred five million, eight hundred eighty-three thousand, five hundred twenty".