8210350080 has 352 divisors, whose sum is σ = 30198981600. Its totient is φ = 2113929216.

The previous prime is 8210350069. The next prime is 8210350121. The reversal of 8210350080 is 800530128.

It is a happy number.

8210350080 is a `hidden beast` number, since 82 + 1 + 0 + 3 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283115506 + ... + 283115534.

Almost surely, 2^8210350080 is an apocalyptic number.

8210350080 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 8210350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15099490800).

8210350080 is an abundant number, since it is smaller than the sum of its proper divisors (21988631520).

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

8210350080 is an frugal number, since it uses more digits than its factorization.

8210350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8210350080 is about 90610.9821158561. The cubic root of 8210350080 is about 2017.3777430373.

The spelling of 8210350080 in words is "eight billion, two hundred ten million, three hundred fifty thousand, eighty".