833738400 has 576 divisors, whose sum is σ = 3431030400. Its totient is φ = 195148800.

The previous prime is 833738393. The next prime is 833738401. The reversal of 833738400 is 4837338.

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 (833738401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28749586 + ... + 28749614.

It is an arithmetic number, because the mean of its divisors is an integer number (5956650).

Almost surely, 2^833738400 is an apocalyptic number.

833738400 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 833738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715515200).

833738400 is an abundant number, since it is smaller than the sum of its proper divisors (2597292000).

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

833738400 is a wasteful number, since it uses less digits than its factorization.

833738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 833738400 is about 28874.5285675801. The cubic root of 833738400 is about 941.1884771140.

The spelling of 833738400 in words is "eight hundred thirty-three million, seven hundred thirty-eight thousand, four hundred".