9761834880 has 896 divisors, whose sum is σ = 41472792000. Its totient is φ = 2194698240.

The previous prime is 9761834879. The next prime is 9761834897. The reversal of 9761834880 is 884381679.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×9761834880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 160030050 + ... + 160030110.

Almost surely, 2^9761834880 is an apocalyptic number.

9761834880 is a gapful number since it is divisible by the number (90) 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 9761834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736396000).

9761834880 is an abundant number, since it is smaller than the sum of its proper divisors (31710957120).

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

9761834880 is an frugal number, since it uses more digits than its factorization.

9761834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 9761834880 is about 98801.9983603571. The cubic root of 9761834880 is about 2137.1933742990.

The spelling of 9761834880 in words is "nine billion, seven hundred sixty-one million, eight hundred thirty-four thousand, eight hundred eighty".