830779664000 has 1536 divisors, whose sum is σ = 2717148395520. Its totient is φ = 249200640000.

The previous prime is 830779663999. The next prime is 830779664003. The reversal of 830779664000 is 466977038.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 830779664000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830779664003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15675087974 + ... + 15675088026.

It is an arithmetic number, because the mean of its divisors is an integer number (1768976820).

Almost surely, 2^830779664000 is an apocalyptic number.

830779664000 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 830779664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358574197760).

830779664000 is an abundant number, since it is smaller than the sum of its proper divisors (1886368731520).

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

830779664000 is a wasteful number, since it uses less digits than its factorization.

830779664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 830779664000 in words is "eight hundred thirty billion, seven hundred seventy-nine million, six hundred sixty-four thousand".