9778320 has 120 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2602368.

The previous prime is 9778319. The next prime is 9778337. The reversal of 9778320 is 238779.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19189 + ... + 19691.

Almost surely, 2^9778320 is an apocalyptic number.

9778320 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 9778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

9778320 is an abundant number, since it is smaller than the sum of its proper divisors (24344496).

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

9778320 is a wasteful number, since it uses less digits than its factorization.

9778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9778320 is about 3127.0305403050. The cubic root of 9778320 is about 213.8395746457.

The spelling of 9778320 in words is "nine million, seven hundred seventy-eight thousand, three hundred twenty".