833270400 has 144 divisors (see below), whose sum is σ = 2973402510. Its totient is φ = 222197760.

The previous prime is 833270371. The next prime is 833270401. The reversal of 833270400 is 4072338.

It can be written as a sum of positive squares in 3 ways, for example, as 626601024 + 206669376 = 25032^2 + 14376^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (833270401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14334 + ... + 43266.

Almost surely, 2^833270400 is an apocalyptic number.

833270400 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 833270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486701255).

833270400 is an abundant number, since it is smaller than the sum of its proper divisors (2140132110).

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

833270400 is a wasteful number, since it uses less digits than its factorization.

833270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28963 (or 28943 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 833270400 is about 28866.4234015924. The cubic root of 833270400 is about 941.0123392710.

The spelling of 833270400 in words is "eight hundred thirty-three million, two hundred seventy thousand, four hundred".