8220026880 has 384 divisors, whose sum is σ = 31481049600. Its totient is φ = 2022506496.

The previous prime is 8220026869. The next prime is 8220026939. The reversal of 8220026880 is 886200228.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 3593097 + ... + 3595383.

It is an arithmetic number, because the mean of its divisors is an integer number (81981900).

Almost surely, 2^8220026880 is an apocalyptic number.

8220026880 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 8220026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740524800).

8220026880 is an abundant number, since it is smaller than the sum of its proper divisors (23261022720).

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

8220026880 is a wasteful number, since it uses less digits than its factorization.

8220026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8220026880 is about 90664.3638923254. The cubic root of 8220026880 is about 2018.1699990011.

The spelling of 8220026880 in words is "eight billion, two hundred twenty million, twenty-six thousand, eight hundred eighty".