785994880 has 128 divisors (see below), whose sum is σ = 2072770560. Its totient is φ = 282624000.

The previous prime is 785994857. The next prime is 785994883. The reversal of 785994880 is 88499587.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (785994883) 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 15 ways as a sum of consecutive naturals, for example, 682305 + ... + 683455.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2^785994880 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 785994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280).

785994880 is an abundant number, since it is smaller than the sum of its proper divisors (1286775680).

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

785994880 is a wasteful number, since it uses less digits than its factorization.

785994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The square root of 785994880 is about 28035.6002254277. The cubic root of 785994880 is about 922.8686765558.

The spelling of 785994880 in words is "seven hundred eighty-five million, nine hundred ninety-four thousand, eight hundred eighty".