8216795520 has 320 divisors, whose sum is σ = 30296154240. Its totient is φ = 2120048640.

The previous prime is 8216795497. The next prime is 8216795569. The reversal of 8216795520 is 255976128.

8216795520 is a `hidden beast` number, since 8 + 21 + 6 + 79 + 552 + 0 = 666.

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

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1604484 + ... + 1609596.

It is an arithmetic number, because the mean of its divisors is an integer number (94675482).

Almost surely, 2^8216795520 is an apocalyptic number.

8216795520 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 8216795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148077120).

8216795520 is an abundant number, since it is smaller than the sum of its proper divisors (22079358720).

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

8216795520 is a wasteful number, since it uses less digits than its factorization.

8216795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 8216795520 is about 90646.5416880313. The cubic root of 8216795520 is about 2017.9055112797.

The spelling of 8216795520 in words is "eight billion, two hundred sixteen million, seven hundred ninety-five thousand, five hundred twenty".