785389225420800 has 10368 divisors, whose sum is σ = 4053705233760000. Its totient is φ = 150644087193600.

The previous prime is 785389225420777. The next prime is 785389225420819. The reversal of 785389225420800 is 8024522983587.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

785389225420800 is a `hidden beast` number, since 7 + 8 + 5 + 3 + 8 + 9 + 2 + 2 + 542 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 60414555801594 + ... + 60414555801606.

Almost surely, 2^{785389225420800} is an apocalyptic number.

785389225420800 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 785389225420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026852616880000).

785389225420800 is an abundant number, since it is smaller than the sum of its proper divisors (3268316008339200).

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

785389225420800 is an equidigital number, since it uses as much as digits as its factorization.

785389225420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 785389225420800 in words is "seven hundred eighty-five trillion, three hundred eighty-nine billion, two hundred twenty-five million, four hundred twenty thousand, eight hundred".