78058015200 has 864 divisors, whose sum is σ = 314680609152. Its totient is φ = 18724608000.

The previous prime is 78058015199. The next prime is 78058015241. The reversal of 78058015200 is 251085087.

78058015200 is a `hidden beast` number, since 7 + 80 + 58 + 0 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 369943095 + ... + 369943305.

It is an arithmetic number, because the mean of its divisors is an integer number (364213668).

Almost surely, 2^78058015200 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 78058015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157340304576).

78058015200 is an abundant number, since it is smaller than the sum of its proper divisors (236622593952).

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

78058015200 is a wasteful number, since it uses less digits than its factorization.

78058015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 78058015200 in words is "seventy-eight billion, fifty-eight million, fifteen thousand, two hundred".