794201792400 has 225 divisors, whose sum is σ = 2850902324193. Its totient is φ = 211744368000.

The previous prime is 794201792389. The next prime is 794201792413. The reversal of 794201792400 is 4297102497.

It is a happy number.

The square root of 794201792400 is 891180.

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

794201792400 is a `hidden beast` number, since 79 + 4 + 2 + 0 + 179 + 2 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285912645264 + 508289147136 = 534708^2 + 712944^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 160409925 + ... + 160414875.

Almost surely, 2^794201792400 is an apocalyptic number.

794201792400 is the 891180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794201792400

794201792400 is an abundant number, since it is smaller than the sum of its proper divisors (2056700531793).

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

794201792400 is an frugal number, since it uses more digits than its factorization.

794201792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

Adding to 794201792400 its reverse (4297102497), we get a palindrome (798498894897).

The spelling of 794201792400 in words is "seven hundred ninety-four billion, two hundred one million, seven hundred ninety-two thousand, four hundred".