9835780920 has 128 divisors (see below), whose sum is σ = 35497612800. Its totient is φ = 2129849856.

The previous prime is 9835780919. The next prime is 9835780921. The reversal of 9835780920 is 290875389.

It is an interprime number because it is at equal distance from previous prime (9835780919) and next prime (9835780921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9835780921) 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 31 ways as a sum of consecutive naturals, for example, 292179 + ... + 324098.

It is an arithmetic number, because the mean of its divisors is an integer number (277325100).

Almost surely, 2^9835780920 is an apocalyptic number.

It is an amenable number.

9835780920 is an abundant number, since it is smaller than the sum of its proper divisors (25661831880).

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

9835780920 is a wasteful number, since it uses less digits than its factorization.

9835780920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616317 (or 616313 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The square root of 9835780920 is about 99175.5056452953. The cubic root of 9835780920 is about 2142.5762289027.

The spelling of 9835780920 in words is "nine billion, eight hundred thirty-five million, seven hundred eighty thousand, nine hundred twenty".