801360 has 160 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 179712.

The previous prime is 801349. The next prime is 801371. The reversal of 801360 is 63108.

It is an interprime number because it is at equal distance from previous prime (801349) and next prime (801371).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

801360 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 31 ways as a sum of consecutive naturals, for example, 15094 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁸⁰¹³⁶⁰ is an apocalyptic number.

801360 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 801360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

801360 is an abundant number, since it is smaller than the sum of its proper divisors (2412720).

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

801360 is a wasteful number, since it uses less digits than its factorization.

801360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 801360 is about 895.1871312748. The cubic root of 801360 is about 92.8843515645.

801360 divided by its product of nonzero digits (144) gives a triangular number (5565 = T₁₀₅).

Adding to 801360 its reverse (63108), we get a palindrome (864468).

The spelling of 801360 in words is "eight hundred one thousand, three hundred sixty".