833960400 has 360 divisors, whose sum is σ = 3349723104. Its totient is φ = 175795200.

The previous prime is 833960399. The next prime is 833960401. The reversal of 833960400 is 4069338.

833960400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (833960399) and next prime (833960401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833960401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 763855 + ... + 764945.

Almost surely, 2^833960400 is an apocalyptic number.

833960400 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 833960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674861552).

833960400 is an abundant number, since it is smaller than the sum of its proper divisors (2515762704).

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

833960400 is a wasteful number, since it uses less digits than its factorization.

833960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 833960400 is about 28878.3725303210. The cubic root of 833960400 is about 941.2720066317.

The spelling of 833960400 in words is "eight hundred thirty-three million, nine hundred sixty thousand, four hundred".