801600 has 84 divisors (see below), whose sum is σ = 2645664. Its totient is φ = 212480.

The previous prime is 801571. The next prime is 801607. The reversal of 801600 is 6108.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 801600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801607) by changing a digit.

801600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4717 + ... + 4883.

It is an arithmetic number, because the mean of its divisors is an integer number (31496).

2⁸⁰¹⁶⁰⁰ is an apocalyptic number.

801600 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 801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322832).

801600 is an abundant number, since it is smaller than the sum of its proper divisors (1844064).

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

801600 is a wasteful number, since it uses less digits than its factorization.

801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 801600 is about 895.3211714240. The cubic root of 801600 is about 92.8936233106.

Adding to 801600 its reverse (6108), we get a palindrome (807708).

The spelling of 801600 in words is "eight hundred one thousand, six hundred".