833040000 has 480 divisors, whose sum is σ = 3262158900. Its totient is φ = 202752000.

The previous prime is 833039969. The next prime is 833040037. The reversal of 833040000 is 40338.

It can be written as a sum of positive squares in 10 ways, for example, as 301091904 + 531948096 = 17352^2 + 23064^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 9359956 + ... + 9360044.

Almost surely, 2^833040000 is an apocalyptic number.

833040000 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 833040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631079450).

833040000 is an abundant number, since it is smaller than the sum of its proper divisors (2429118900).

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

833040000 is a wasteful number, since it uses less digits than its factorization.

833040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 833040000 is about 28862.4323299337. The cubic root of 833040000 is about 940.9256010291.

Adding to 833040000 its reverse (40338), we get a palindrome (833080338).

The spelling of 833040000 in words is "eight hundred thirty-three million, forty thousand".