79456334400 has 693 divisors, whose sum is σ = 303728065771. Its totient is φ = 20457722880.

The previous prime is 79456334393. The next prime is 79456334411. The reversal of 79456334400 is 443365497.

The square root of 79456334400 is 281880.

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

79456334400 is a `hidden beast` number, since 7 + 9 + 4 + 5 + 633 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1092170304 + 78364164096 = 33048^2 + 279936^2 .

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 polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 2739873586 + ... + 2739873614.

Almost surely, 2^79456334400 is an apocalyptic number.

79456334400 is the 281880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79456334400

79456334400 is an abundant number, since it is smaller than the sum of its proper divisors (224271731371).

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

79456334400 is an frugal number, since it uses more digits than its factorization.

79456334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Adding to 79456334400 its reverse (443365497), we get a palindrome (79899699897).

The spelling of 79456334400 in words is "seventy-nine billion, four hundred fifty-six million, three hundred thirty-four thousand, four hundred".