78781262400 has 189 divisors, whose sum is σ = 280126971241. Its totient is φ = 20999354880.

The previous prime is 78781262381. The next prime is 78781262429. The reversal of 78781262400 is 426218787.

The square root of 78781262400 is 280680.

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

78781262400 is a `hidden beast` number, since 7 + 8 + 7 + 8 + 12 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28361254464 + 50420007936 = 168408^2 + 224544^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33680431 + ... + 33682769.

Almost surely, 2^78781262400 is an apocalyptic number.

78781262400 is the 280680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78781262400

78781262400 is an abundant number, since it is smaller than the sum of its proper divisors (201345708841).

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

78781262400 is an equidigital number, since it uses as much as digits as its factorization.

78781262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4706 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 78781262400 in words is "seventy-eight billion, seven hundred eighty-one million, two hundred sixty-two thousand, four hundred".