78451430400 has 594 divisors, whose sum is σ = 326800377150. Its totient is φ = 17929175040.

The previous prime is 78451430389. The next prime is 78451430413. The reversal of 78451430400 is 403415487.

78451430400 is a `hidden beast` number, since 78 + 4 + 514 + 30 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15623000064 + 62828430336 = 124992^2 + 250656^2 .

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 53 ways as a sum of consecutive naturals, for example, 11286126 + ... + 11293074.

Almost surely, 2^78451430400 is an apocalyptic number.

78451430400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78451430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163400188575).

78451430400 is an abundant number, since it is smaller than the sum of its proper divisors (248348946750).

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

78451430400 is a wasteful number, since it uses less digits than its factorization.

78451430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 78451430400 its reverse (403415487), we get a palindrome (78854845887).

The spelling of 78451430400 in words is "seventy-eight billion, four hundred fifty-one million, four hundred thirty thousand, four hundred".