9779888160 has 480 divisors, whose sum is σ = 40059169920. Its totient is φ = 2200670208.

The previous prime is 9779888159. The next prime is 9779888189. The reversal of 9779888160 is 618889779.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6077436 + ... + 6079044.

It is an arithmetic number, because the mean of its divisors is an integer number (83456604).

Almost surely, 2^9779888160 is an apocalyptic number.

9779888160 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 9779888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20029584960).

9779888160 is an abundant number, since it is smaller than the sum of its proper divisors (30279281760).

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

9779888160 is a wasteful number, since it uses less digits than its factorization.

9779888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The square root of 9779888160 is about 98893.3170644003. The cubic root of 9779888160 is about 2138.5100526445.

The spelling of 9779888160 in words is "nine billion, seven hundred seventy-nine million, eight hundred eighty-eight thousand, one hundred sixty".