78467214400 has 189 divisors, whose sum is σ = 198606716959. Its totient is φ = 30512911360.

The previous prime is 78467214311. The next prime is 78467214481. The reversal of 78467214400 is 441276487.

The square root of 78467214400 is 280120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23418793024 + 55048421376 = 153032^2 + 234624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 526625526 + ... + 526625674.

Almost surely, 2^78467214400 is an apocalyptic number.

78467214400 is the 280120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78467214400

78467214400 is an abundant number, since it is smaller than the sum of its proper divisors (120139502559).

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

78467214400 is an equidigital number, since it uses as much as digits as its factorization.

78467214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 78467214400 in words is "seventy-eight billion, four hundred sixty-seven million, two hundred fourteen thousand, four hundred".