78557358600 has 960 divisors, whose sum is σ = 323844897600. Its totient is φ = 17496622080.

The previous prime is 78557358587. The next prime is 78557358647. The reversal of 78557358600 is 685375587.

78557358600 is a `hidden beast` number, since 7 + 8 + 5 + 57 + 3 + 586 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 946474159 + ... + 946474241.

It is an arithmetic number, because the mean of its divisors is an integer number (337338435).

Almost surely, 2^78557358600 is an apocalyptic number.

78557358600 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 78557358600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161922448800).

78557358600 is an abundant number, since it is smaller than the sum of its proper divisors (245287539000).

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

78557358600 is a wasteful number, since it uses less digits than its factorization.

78557358600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 78557358600 in words is "seventy-eight billion, five hundred fifty-seven million, three hundred fifty-eight thousand, six hundred".