830409840 has 160 divisors (see below), whose sum is σ = 3080427840. Its totient is φ = 204401664.

The previous prime is 830409817. The next prime is 830409847. The reversal of 830409840 is 48904038.

830409840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 830409795 and 830409804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830409847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13294 + ... + 42866.

It is an arithmetic number, because the mean of its divisors is an integer number (19252674).

Almost surely, 2^830409840 is an apocalyptic number.

830409840 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 830409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540213920).

830409840 is an abundant number, since it is smaller than the sum of its proper divisors (2250018000).

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

830409840 is a wasteful number, since it uses less digits than its factorization.

830409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29608 (or 29596 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 830409840 is about 28816.8325809760. The cubic root of 830409840 is about 939.9342944868.

The spelling of 830409840 in words is "eight hundred thirty million, four hundred nine thousand, eight hundred forty".