78158617200 has 360 divisors, whose sum is σ = 281918237328. Its totient is φ = 20794890240.

The previous prime is 78158617193. The next prime is 78158617213. The reversal of 78158617200 is 271685187.

It is a happy number.

78158617200 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 8 + 617 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×78158617200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71247052 + ... + 71248148.

Almost surely, 2^78158617200 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 78158617200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140959118664).

78158617200 is an abundant number, since it is smaller than the sum of its proper divisors (203759620128).

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

78158617200 is a wasteful number, since it uses less digits than its factorization.

78158617200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 78158617200 in words is "seventy-eight billion, one hundred fifty-eight million, six hundred seventeen thousand, two hundred".