800420824 has 32 divisors (see below), whose sum is σ = 1718618400. Its totient is φ = 342351360.

The previous prime is 800420807. The next prime is 800420827. The reversal of 800420824 is 428024008.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 800420792 and 800420801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800420827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14464 + ... + 42544.

It is an arithmetic number, because the mean of its divisors is an integer number (53706825).

Almost surely, 2^800420824 is an apocalyptic number.

It is an amenable number.

800420824 is an abundant number, since it is smaller than the sum of its proper divisors (918197576).

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

800420824 is a wasteful number, since it uses less digits than its factorization.

800420824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28603 (or 28599 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 800420824 is about 28291.7094570123. The cubic root of 800420824 is about 928.4805125211.

The spelling of 800420824 in words is "eight hundred million, four hundred twenty thousand, eight hundred twenty-four".