78201583200 has 432 divisors, whose sum is σ = 312607648080. Its totient is φ = 18236067840.

The previous prime is 78201583189. The next prime is 78201583223. The reversal of 78201583200 is 238510287.

78201583200 is a `hidden beast` number, since 78 + 2 + 0 + 1 + 583 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×78201583200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1756414 + ... + 1800386.

It is an arithmetic number, because the mean of its divisors is an integer number (723628815).

Almost surely, 2^78201583200 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 78201583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156303824040).

78201583200 is an abundant number, since it is smaller than the sum of its proper divisors (234406064880).

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

78201583200 is a wasteful number, since it uses less digits than its factorization.

78201583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44031 (or 44015 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 78201583200 in words is "seventy-eight billion, two hundred one million, five hundred eighty-three thousand, two hundred".