9779804160 has 576 divisors, whose sum is σ = 37309053600. Its totient is φ = 2179989504.

The previous prime is 9779804159. The next prime is 9779804161. The reversal of 9779804160 is 614089779.

It is an interprime number because it is at equal distance from previous prime (9779804159) and next prime (9779804161).

It is a super-3 number, since 3×9779804160³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9779804161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109885396 + ... + 109885484.

Almost surely, 2^9779804160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9779804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654526800).

9779804160 is an abundant number, since it is smaller than the sum of its proper divisors (27529249440).

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

9779804160 is a wasteful number, since it uses less digits than its factorization.

9779804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 9779804160 is about 98892.8923634050. The cubic root of 9779804160 is about 2138.5039300333.

The spelling of 9779804160 in words is "nine billion, seven hundred seventy-nine million, eight hundred four thousand, one hundred sixty".