830355840 has 256 divisors, whose sum is σ = 3044088000. Its totient is φ = 213663744.

The previous prime is 830355829. The next prime is 830355859. The reversal of 830355840 is 48553038.

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 = 830355795 and 830355804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500292 + ... + 501948.

Almost surely, 2^830355840 is an apocalyptic number.

830355840 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 830355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522044000).

830355840 is an abundant number, since it is smaller than the sum of its proper divisors (2213732160).

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

830355840 is a wasteful number, since it uses less digits than its factorization.

830355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 830355840 is about 28815.8956133590. The cubic root of 830355840 is about 939.9139199883.

The spelling of 830355840 in words is "eight hundred thirty million, three hundred fifty-five thousand, eight hundred forty".