800423608320 has 1224 divisors, whose sum is σ = 3356591996160. Its totient is φ = 175720366080.

The previous prime is 800423608277. The next prime is 800423608351. The reversal of 800423608320 is 23806324008.

800423608320 is a `hidden beast` number, since 8 + 0 + 0 + 4 + 23 + 608 + 3 + 20 = 666.

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 71 ways as a sum of consecutive naturals, for example, 4190699425 + ... + 4190699615.

Almost surely, 2^800423608320 is an apocalyptic number.

800423608320 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 800423608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678295998080).

800423608320 is an abundant number, since it is smaller than the sum of its proper divisors (2556168387840).

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

800423608320 is a wasteful number, since it uses less digits than its factorization.

800423608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 800423608320 in words is "eight hundred billion, four hundred twenty-three million, six hundred eight thousand, three hundred twenty".