833768064 has 192 divisors, whose sum is σ = 2547617280. Its totient is φ = 261273600.

The previous prime is 833768063. The next prime is 833768071. The reversal of 833768064 is 460867338.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833768063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321029 + ... + 1321659.

It is an arithmetic number, because the mean of its divisors is an integer number (13268840).

Almost surely, 2^833768064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273808640).

833768064 is an abundant number, since it is smaller than the sum of its proper divisors (1713849216).

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

833768064 is a wasteful number, since it uses less digits than its factorization.

833768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 833768064 is about 28875.0422337353. The cubic root of 833768064 is about 941.1996393218.

The spelling of 833768064 in words is "eight hundred thirty-three million, seven hundred sixty-eight thousand, sixty-four".