800013760 has 224 divisors, whose sum is σ = 2380073472. Its totient is φ = 249384960.

The previous prime is 800013733. The next prime is 800013769. The reversal of 800013760 is 67310008.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800013769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416795 + ... + 2417125.

It is an arithmetic number, because the mean of its divisors is an integer number (10625328).

Almost surely, 2^800013760 is an apocalyptic number.

800013760 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 800013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190036736).

800013760 is an abundant number, since it is smaller than the sum of its proper divisors (1580059712).

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

800013760 is a wasteful number, since it uses less digits than its factorization.

800013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 800013760 is about 28284.5144911487. The cubic root of 800013760 is about 928.3230890472.

Adding to 800013760 its reverse (67310008), we get a palindrome (867323768).

The spelling of 800013760 in words is "eight hundred million, thirteen thousand, seven hundred sixty".