799945161120 has 768 divisors, whose sum is σ = 3307154780160. Its totient is φ = 176795136000.

The previous prime is 799945161083. The next prime is 799945161143. The reversal of 799945161120 is 21161549997.

It is a happy number.

799945161120 is a `hidden beast` number, since 7 + 9 + 9 + 9 + 4 + 516 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 131329275 + ... + 131335365.

It is an arithmetic number, because the mean of its divisors is an integer number (4306191120).

Almost surely, 2^799945161120 is an apocalyptic number.

799945161120 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 799945161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653577390080).

799945161120 is an abundant number, since it is smaller than the sum of its proper divisors (2507209619040).

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

799945161120 is a wasteful number, since it uses less digits than its factorization.

799945161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 799945161120 in words is "seven hundred ninety-nine billion, nine hundred forty-five million, one hundred sixty-one thousand, one hundred twenty".