9708076800 has 540 divisors, whose sum is σ = 36602468056. Its totient is φ = 2538086400.

The previous prime is 9708076793. The next prime is 9708076817. The reversal of 9708076800 is 86708079.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31622247 + ... + 31622553.

Almost surely, 2^9708076800 is an apocalyptic number.

9708076800 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 9708076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301234028).

9708076800 is an abundant number, since it is smaller than the sum of its proper divisors (26894391256).

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

9708076800 is a wasteful number, since it uses less digits than its factorization.

9708076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9708076800 is about 98529.5732255042. The cubic root of 9708076800 is about 2133.2630011535.

The spelling of 9708076800 in words is "nine billion, seven hundred eight million, seventy-six thousand, eight hundred".