800424560 has 120 divisors (see below), whose sum is σ = 2045275344. Its totient is φ = 291133440.

The previous prime is 800424517. The next prime is 800424577. The reversal of 800424560 is 65424008.

800424560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986555 + ... + 987365.

Almost surely, 2^800424560 is an apocalyptic number.

800424560 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 800424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022637672).

800424560 is an abundant number, since it is smaller than the sum of its proper divisors (1244850784).

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

800424560 is a wasteful number, since it uses less digits than its factorization.

800424560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 800424560 is about 28291.7754833450. The cubic root of 800424560 is about 928.4819570936.

Adding to 800424560 its reverse (65424008), we get a palindrome (865848568).

The spelling of 800424560 in words is "eight hundred million, four hundred twenty-four thousand, five hundred sixty".