78354432000 has 960 divisors, whose sum is σ = 314877763200. Its totient is φ = 19110297600.

The previous prime is 78354431993. The next prime is 78354432017. The reversal of 78354432000 is 23445387.

It is a happy number.

78354432000 is a `hidden beast` number, since 7 + 8 + 3 + 5 + 443 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×78354432000² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718847946 + ... + 718848054.

It is an arithmetic number, because the mean of its divisors is an integer number (327997670).

Almost surely, 2^78354432000 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 78354432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157438881600).

78354432000 is an abundant number, since it is smaller than the sum of its proper divisors (236523331200).

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

78354432000 is a wasteful number, since it uses less digits than its factorization.

78354432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 78354432000 its reverse (23445387), we get a palindrome (78377877387).

The spelling of 78354432000 in words is "seventy-eight billion, three hundred fifty-four million, four hundred thirty-two thousand".