8209978560 has 336 divisors, whose sum is σ = 33470551296. Its totient is φ = 1876442112.

The previous prime is 8209978537. The next prime is 8209978573. The reversal of 8209978560 is 658799028.

It is a happy number.

8209978560 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 9 + 78 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8209978497 and 8209978506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536779 + ... + 551861.

It is an arithmetic number, because the mean of its divisors is an integer number (99614736).

Almost surely, 2^8209978560 is an apocalyptic number.

8209978560 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 8209978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16735275648).

8209978560 is an abundant number, since it is smaller than the sum of its proper divisors (25260572736).

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

8209978560 is a wasteful number, since it uses less digits than its factorization.

8209978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 8209978560 is about 90608.9320100397. The cubic root of 8209978560 is about 2017.3473136615.

The spelling of 8209978560 in words is "eight billion, two hundred nine million, nine hundred seventy-eight thousand, five hundred sixty".