830982240 has 576 divisors, whose sum is σ = 3368252160. Its totient is φ = 191600640.

The previous prime is 830982227. The next prime is 830982263. The reversal of 830982240 is 42289038.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 830982195 and 830982204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12402687 + ... + 12402753.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^830982240 is an apocalyptic number.

830982240 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 830982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

830982240 is an abundant number, since it is smaller than the sum of its proper divisors (2537269920).

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

830982240 is a wasteful number, since it uses less digits than its factorization.

830982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

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

The square root of 830982240 is about 28826.7625653662. The cubic root of 830982240 is about 940.1502098872.

The spelling of 830982240 in words is "eight hundred thirty million, nine hundred eighty-two thousand, two hundred forty".