785961600 has 384 divisors, whose sum is σ = 2833152000. Its totient is φ = 190771200.

The previous prime is 785961563. The next prime is 785961601. The reversal of 785961600 is 6169587.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (785961601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5654331 + ... + 5654469.

It is an arithmetic number, because the mean of its divisors is an integer number (7378000).

Almost surely, 2^785961600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416576000).

785961600 is an abundant number, since it is smaller than the sum of its proper divisors (2047190400).

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

785961600 is a wasteful number, since it uses less digits than its factorization.

785961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 785961600 is about 28035.0066880677. The cubic root of 785961600 is about 922.8556512364.

The spelling of 785961600 in words is "seven hundred eighty-five million, nine hundred sixty-one thousand, six hundred".