833364072 has 128 divisors (see below), whose sum is σ = 2530483200. Its totient is φ = 252979200.

The previous prime is 833364071. The next prime is 833364079. The reversal of 833364072 is 270463338.

833364072 is a `hidden beast` number, since 8 + 3 + 3 + 3 + 640 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (833364071) 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 31 ways as a sum of consecutive naturals, for example, 110172 + ... + 117492.

It is an arithmetic number, because the mean of its divisors is an integer number (19769400).

Almost surely, 2^833364072 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 833364072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265241600).

833364072 is an abundant number, since it is smaller than the sum of its proper divisors (1697119128).

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

833364072 is a wasteful number, since it uses less digits than its factorization.

833364072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 833364072 is about 28868.0458638959. The cubic root of 833364072 is about 941.0475992159.

The spelling of 833364072 in words is "eight hundred thirty-three million, three hundred sixty-four thousand, seventy-two".