830508840 has 432 divisors, whose sum is σ = 3319161300. Its totient is φ = 179536896.

The previous prime is 830508827. The next prime is 830508841. The reversal of 830508840 is 48805038.

It can be written as a sum of positive squares in 2 ways, for example, as 784784196 + 45724644 = 28014^2 + 6762^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 830508795 and 830508804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830508841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9331516 + ... + 9331604.

Almost surely, 2^830508840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830508840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659580650).

830508840 is an abundant number, since it is smaller than the sum of its proper divisors (2488652460).

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

830508840 is a wasteful number, since it uses less digits than its factorization.

830508840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 830508840 is about 28818.5502758206. The cubic root of 830508840 is about 939.9716454402.

The spelling of 830508840 in words is "eight hundred thirty million, five hundred eight thousand, eight hundred forty".