800624061 has 16 divisors (see below), whose sum is σ = 1255881600. Its totient is φ = 502352064.

The previous prime is 800624057. The next prime is 800624063. The reversal of 800624061 is 160426008.

It is not a de Polignac number, because 800624061 - 2² = 800624057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800624063) 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 15 ways as a sum of consecutive naturals, for example, 871681 + ... + 872598.

It is an arithmetic number, because the mean of its divisors is an integer number (78492600).

Almost surely, 2^800624061 is an apocalyptic number.

It is an amenable number.

800624061 is a deficient number, since it is larger than the sum of its proper divisors (455257539).

800624061 is a wasteful number, since it uses less digits than its factorization.

800624061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744305 (or 1744299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 800624061 is about 28295.3010409856. The cubic root of 800624061 is about 928.5590901973.

The spelling of 800624061 in words is "eight hundred million, six hundred twenty-four thousand, sixty-one".