8220436830 has 96 divisors (see below), whose sum is σ = 22556570400. Its totient is φ = 2071339776.

The previous prime is 8220436771. The next prime is 8220436859. The reversal of 8220436830 is 386340228.

It is a Curzon number.

It is a congruent number.

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, 672816 + ... + 684924.

It is an arithmetic number, because the mean of its divisors is an integer number (234964275).

Almost surely, 2^8220436830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220436830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278285200).

8220436830 is an abundant number, since it is smaller than the sum of its proper divisors (14336133570).

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

8220436830 is a wasteful number, since it uses less digits than its factorization.

8220436830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12538 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8220436830 is about 90666.6246752354. The cubic root of 8220436830 is about 2018.2035485685.

The spelling of 8220436830 in words is "eight billion, two hundred twenty million, four hundred thirty-six thousand, eight hundred thirty".