835280 has 40 divisors (see below), whose sum is σ = 1988712. Its totient is φ = 326144.

The previous prime is 835271. The next prime is 835313. The reversal of 835280 is 82538.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 440896 = 628^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

835280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4142 + ... + 4338.

2⁸³⁵²⁸⁰ is an apocalyptic number.

835280 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 835280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994356).

835280 is an abundant number, since it is smaller than the sum of its proper divisors (1153432).

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

835280 is a wasteful number, since it uses less digits than its factorization.

835280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 835280 is about 913.9365404666. The cubic root of 835280 is about 94.1768212438.

The spelling of 835280 in words is "eight hundred thirty-five thousand, two hundred eighty".