8220881600 has 84 divisors (see below), whose sum is σ = 20274573624. Its totient is φ = 3280865280.

The previous prime is 8220881561. The next prime is 8220881657. The reversal of 8220881600 is 61880228.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 725579 + ... + 736821.

Almost surely, 2^8220881600 is an apocalyptic number.

8220881600 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 8220881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10137286812).

8220881600 is an abundant number, since it is smaller than the sum of its proper divisors (12053692024).

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

8220881600 is a wasteful number, since it uses less digits than its factorization.

8220881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11722 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 8220881600 is about 90669.0774189304. The cubic root of 8220881600 is about 2018.2399464803.

The spelling of 8220881600 in words is "eight billion, two hundred twenty million, eight hundred eighty-one thousand, six hundred".