789961200 has 240 divisors, whose sum is σ = 2915289600. Its totient is φ = 179112960.

The previous prime is 789961199. The next prime is 789961201. The reversal of 789961200 is 2169987.

789961200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (789961199) and next prime (789961201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (789961201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1318501 + ... + 1319099.

It is an arithmetic number, because the mean of its divisors is an integer number (12147040).

Almost surely, 2^789961200 is an apocalyptic number.

789961200 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 789961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457644800).

789961200 is an abundant number, since it is smaller than the sum of its proper divisors (2125328400).

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

789961200 is a wasteful number, since it uses less digits than its factorization.

789961200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 789961200 is about 28106.2484156104. The cubic root of 789961200 is about 924.4184121035.

The spelling of 789961200 in words is "seven hundred eighty-nine million, nine hundred sixty-one thousand, two hundred".