799852800600 has 384 divisors, whose sum is σ = 3166243776000. Its totient is φ = 181800599040.

The previous prime is 799852800577. The next prime is 799852800601. The reversal of 799852800600 is 6008258997.

It is a happy number.

799852800600 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 5 + 28 + 0 + 0 + 600 = 666.

799852800600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799852800601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6707094 + ... + 6825306.

It is an arithmetic number, because the mean of its divisors is an integer number (8245426500).

Almost surely, 2^799852800600 is an apocalyptic number.

799852800600 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 799852800600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583121888000).

799852800600 is an abundant number, since it is smaller than the sum of its proper divisors (2366390975400).

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

799852800600 is a wasteful number, since it uses less digits than its factorization.

799852800600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118424 (or 118409 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 799852800600 in words is "seven hundred ninety-nine billion, eight hundred fifty-two million, eight hundred thousand, six hundred".