830317340160 has 4800 divisors, whose sum is σ = 4389166932480. Its totient is φ = 147149291520.

The previous prime is 830317340131. The next prime is 830317340161. The reversal of 830317340160 is 61043713038.

830317340160 is a `hidden beast` number, since 8 + 303 + 1 + 7 + 340 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830317340161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 36100753909 + ... + 36100753931.

Almost surely, 2^830317340160 is an apocalyptic number.

830317340160 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 830317340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194583466240).

830317340160 is an abundant number, since it is smaller than the sum of its proper divisors (3558849592320).

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

830317340160 is a wasteful number, since it uses less digits than its factorization.

830317340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 830317340160 in words is "eight hundred thirty billion, three hundred seventeen million, three hundred forty thousand, one hundred sixty".