800073456 has 80 divisors (see below), whose sum is σ = 2543837184. Its totient is φ = 211007232.

The previous prime is 800073427. The next prime is 800073479. The reversal of 800073456 is 654370008.

800073456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×800073456³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87216 + ... + 95951.

Almost surely, 2^800073456 is an apocalyptic number.

It is an amenable number.

800073456 is an abundant number, since it is smaller than the sum of its proper divisors (1743763728).

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

800073456 is a wasteful number, since it uses less digits than its factorization.

800073456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183198 (or 183192 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 800073456 is about 28285.5697485485. The cubic root of 800073456 is about 928.3461785654.

The spelling of 800073456 in words is "eight hundred million, seventy-three thousand, four hundred fifty-six".