9608797800 has 768 divisors, whose sum is σ = 42211584000. Its totient is φ = 1955819520.

The previous prime is 9608797799. The next prime is 9608797801. The reversal of 9608797800 is 87978069.

It is an interprime number because it is at equal distance from previous prime (9608797799) and next prime (9608797801).

It is a super-2 number, since 2×9608797800² (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 not an unprimeable number, because it can be changed into a prime (9608797801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12209007 + ... + 12209793.

It is an arithmetic number, because the mean of its divisors is an integer number (54963000).

Almost surely, 2^9608797800 is an apocalyptic number.

9608797800 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 9608797800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21105792000).

9608797800 is an abundant number, since it is smaller than the sum of its proper divisors (32602786200).

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

9608797800 is a wasteful number, since it uses less digits than its factorization.

9608797800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 9608797800 is about 98024.4755150468. The cubic root of 9608797800 is about 2125.9661802451.

The spelling of 9608797800 in words is "nine billion, six hundred eight million, seven hundred ninety-seven thousand, eight hundred".