799783664400 has 1800 divisors, whose sum is σ = 3527283614400. Its totient is φ = 173685980160.

The previous prime is 799783664347. The next prime is 799783664461. The reversal of 799783664400 is 4466387997.

799783664400 is a `hidden beast` number, since 7 + 9 + 97 + 83 + 6 + 64 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5367675526 + ... + 5367675674.

It is an arithmetic number, because the mean of its divisors is an integer number (1959602008).

Almost surely, 2^799783664400 is an apocalyptic number.

799783664400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799783664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763641807200).

799783664400 is an abundant number, since it is smaller than the sum of its proper divisors (2727499950000).

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

799783664400 is a wasteful number, since it uses less digits than its factorization.

799783664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 799783664400 in words is "seven hundred ninety-nine billion, seven hundred eighty-three million, six hundred sixty-four thousand, four hundred".