799915584400 has 135 divisors (see below), whose sum is σ = 1940148772339. Its totient is φ = 316939651840.

The previous prime is 799915584397. The next prime is 799915584439. The reversal of 799915584400 is 4485519997.

The square root of 799915584400 is 894380.

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 184456506256 + 615459078144 = 429484^2 + 784512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3523857087 + ... + 3523857313.

Almost surely, 2^799915584400 is an apocalyptic number.

799915584400 is the 894380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799915584400

799915584400 is an abundant number, since it is smaller than the sum of its proper divisors (1140233187939).

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

799915584400 is an equidigital number, since it uses as much as digits as its factorization.

799915584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 799915584400 in words is "seven hundred ninety-nine billion, nine hundred fifteen million, five hundred eighty-four thousand, four hundred".