78111158400 has 864 divisors, whose sum is σ = 321371640720. Its totient is φ = 17913139200.

The previous prime is 78111158399. The next prime is 78111158423. The reversal of 78111158400 is 485111187.

78111158400 is a `hidden beast` number, since 78 + 1 + 1 + 1 + 1 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×78111158400² (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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 114364459 + ... + 114365141.

Almost surely, 2^78111158400 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 78111158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160685820360).

78111158400 is an abundant number, since it is smaller than the sum of its proper divisors (243260482320).

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

78111158400 is a wasteful number, since it uses less digits than its factorization.

78111158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

Adding to 78111158400 its reverse (485111187), we get a palindrome (78596269587).

The spelling of 78111158400 in words is "seventy-eight billion, one hundred eleven million, one hundred fifty-eight thousand, four hundred".