8760209920 has 320 divisors, whose sum is σ = 27576806400. Its totient is φ = 2585640960.

The previous prime is 8760209917. The next prime is 8760209957. The reversal of 8760209920 is 299020678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3744111 + ... + 3746449.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^8760209920 is an apocalyptic number.

8760209920 is a gapful number since it is divisible by the number (80) 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 8760209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788403200).

8760209920 is an abundant number, since it is smaller than the sum of its proper divisors (18816596480).

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

8760209920 is a wasteful number, since it uses less digits than its factorization.

8760209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 8760209920 is about 93595.9930766270. The cubic root of 8760209920 is about 2061.4438239538.

The spelling of 8760209920 in words is "eight billion, seven hundred sixty million, two hundred nine thousand, nine hundred twenty".