830399040 has 336 divisors, whose sum is σ = 3028858560. Its totient is φ = 216483840.

The previous prime is 830399033. The next prime is 830399057. The reversal of 830399040 is 40993038.

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 = 830398986 and 830399004.

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, 4587750 + ... + 4587930.

It is an arithmetic number, because the mean of its divisors is an integer number (9014460).

Almost surely, 2^830399040 is an apocalyptic number.

830399040 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 830399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514429280).

830399040 is an abundant number, since it is smaller than the sum of its proper divisors (2198459520).

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

830399040 is a wasteful number, since it uses less digits than its factorization.

830399040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 830399040 is about 28816.6451898898. The cubic root of 830399040 is about 939.9302196578.

The spelling of 830399040 in words is "eight hundred thirty million, three hundred ninety-nine thousand, forty".