830903040 has 432 divisors, whose sum is σ = 3214149120. Its totient is φ = 196485120.

The previous prime is 830903027. The next prime is 830903053. The reversal of 830903040 is 40309038.

It is an interprime number because it is at equal distance from previous prime (830903027) and next prime (830903053).

It is a junction number, because it is equal to n+sod(n) for n = 830902995 and 830903013.

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, 10010839 + ... + 10010921.

It is an arithmetic number, because the mean of its divisors is an integer number (7440160).

Almost surely, 2^830903040 is an apocalyptic number.

830903040 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 830903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607074560).

830903040 is an abundant number, since it is smaller than the sum of its proper divisors (2383246080).

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

830903040 is a wasteful number, since it uses less digits than its factorization.

830903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 830903040 is about 28825.3888091731. The cubic root of 830903040 is about 940.1203407120.

The spelling of 830903040 in words is "eight hundred thirty million, nine hundred three thousand, forty".