786985920 has 336 divisors, whose sum is σ = 3131880960. Its totient is φ = 177666048.

The previous prime is 786985919. The next prime is 786985943. The reversal of 786985920 is 29589687.

It is a happy number.

786985920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076291 + ... + 2076669.

Almost surely, 2^786985920 is an apocalyptic number.

786985920 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 786985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565940480).

786985920 is an abundant number, since it is smaller than the sum of its proper divisors (2344895040).

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

786985920 is a wasteful number, since it uses less digits than its factorization.

786985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 786985920 is about 28053.2693281906. The cubic root of 786985920 is about 923.2563871577.

The spelling of 786985920 in words is "seven hundred eighty-six million, nine hundred eighty-five thousand, nine hundred twenty".