8082970830 has 192 divisors, whose sum is σ = 24116486400. Its totient is φ = 1910534400.

The previous prime is 8082970817. The next prime is 8082970837. The reversal of 8082970830 is 380792808.

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 not an unprimeable number, because it can be changed into a prime (8082970837) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4991761 + ... + 4993379.

It is an arithmetic number, because the mean of its divisors is an integer number (125606700).

Almost surely, 2^8082970830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8082970830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058243200).

8082970830 is an abundant number, since it is smaller than the sum of its proper divisors (16033515570).

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

8082970830 is a wasteful number, since it uses less digits than its factorization.

8082970830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8082970830 is about 89905.3437232738. The cubic root of 8082970830 is about 2006.8904692874.

The spelling of 8082970830 in words is "eight billion, eighty-two million, nine hundred seventy thousand, eight hundred thirty".