830197717440 has 672 divisors, whose sum is σ = 3309879283200. Its totient is φ = 174749589504.

The previous prime is 830197717417. The next prime is 830197717451. The reversal of 830197717440 is 44717791038.

It is a tau number, because it is divible by the number of its divisors (672).

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, 307593211 + ... + 307595909.

It is an arithmetic number, because the mean of its divisors is an integer number (4925415600).

Almost surely, 2^830197717440 is an apocalyptic number.

830197717440 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 830197717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654939641600).

830197717440 is an abundant number, since it is smaller than the sum of its proper divisors (2479681565760).

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

830197717440 is a wasteful number, since it uses less digits than its factorization.

830197717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The spelling of 830197717440 in words is "eight hundred thirty billion, one hundred ninety-seven million, seven hundred seventeen thousand, four hundred forty".