798789600 has 432 divisors, whose sum is σ = 3344035968. Its totient is φ = 182269440.

The previous prime is 798789533. The next prime is 798789623. The reversal of 798789600 is 6987897.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1360507 + ... + 1361093.

It is an arithmetic number, because the mean of its divisors is an integer number (7740824).

Almost surely, 2^798789600 is an apocalyptic number.

798789600 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 798789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672017984).

798789600 is an abundant number, since it is smaller than the sum of its proper divisors (2545246368).

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

798789600 is a wasteful number, since it uses less digits than its factorization.

798789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 798789600 is about 28262.8660967001. The cubic root of 798789600 is about 927.8493488106.

The spelling of 798789600 in words is "seven hundred ninety-eight million, seven hundred eighty-nine thousand, six hundred".