832890400 has 144 divisors (see below), whose sum is σ = 2119551840. Its totient is φ = 319334400.

The previous prime is 832890371. The next prime is 832890407. The reversal of 832890400 is 4098238.

It is a super-3 number, since 3×832890400³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (832890407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2197411 + ... + 2197789.

It is an arithmetic number, because the mean of its divisors is an integer number (14719110).

Almost surely, 2^832890400 is an apocalyptic number.

832890400 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 832890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059775920).

832890400 is an abundant number, since it is smaller than the sum of its proper divisors (1286661440).

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

832890400 is a wasteful number, since it uses less digits than its factorization.

832890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 832890400 is about 28859.8406094005. The cubic root of 832890400 is about 940.8692728428.

The spelling of 832890400 in words is "eight hundred thirty-two million, eight hundred ninety thousand, four hundred".