800224911360 has 672 divisors, whose sum is σ = 3309795889920. Its totient is φ = 182896164864.

The previous prime is 800224911301. The next prime is 800224911401. The reversal of 800224911360 is 63119422008.

800224911360 is a `hidden beast` number, since 80 + 0 + 22 + 491 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×800224911360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54182697 + ... + 54197463.

Almost surely, 2^800224911360 is an apocalyptic number.

800224911360 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 800224911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654897944960).

800224911360 is an abundant number, since it is smaller than the sum of its proper divisors (2509570978560).

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

800224911360 is a wasteful number, since it uses less digits than its factorization.

800224911360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14821 (or 14784 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 800224911360 in words is "eight hundred billion, two hundred twenty-four million, nine hundred eleven thousand, three hundred sixty".