835420800 has 192 divisors, whose sum is σ = 2914099200. Its totient is φ = 209633280.

The previous prime is 835420771. The next prime is 835420819. The reversal of 835420800 is 8024538.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 160641 + ... + 165759.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^835420800 is an apocalyptic number.

835420800 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 835420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457049600).

835420800 is an abundant number, since it is smaller than the sum of its proper divisors (2078678400).

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

835420800 is a wasteful number, since it uses less digits than its factorization.

835420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 835420800 is about 28903.6468287308. The cubic root of 835420800 is about 941.8211262366.

The spelling of 835420800 in words is "eight hundred thirty-five million, four hundred twenty thousand, eight hundred".