800367072 has 48 divisors (see below), whose sum is σ = 2224554192. Its totient is φ = 251095040.

The previous prime is 800367067. The next prime is 800367097. The reversal of 800367072 is 270763008.

800367072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243579 + ... + 246842.

It is an arithmetic number, because the mean of its divisors is an integer number (46344879).

Almost surely, 2^800367072 is an apocalyptic number.

It is an amenable number.

800367072 is an abundant number, since it is smaller than the sum of its proper divisors (1424187120).

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

800367072 is a wasteful number, since it uses less digits than its factorization.

800367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490451 (or 490443 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 800367072 is about 28290.7594807916. The cubic root of 800367072 is about 928.4597281203.

The spelling of 800367072 in words is "eight hundred million, three hundred sixty-seven thousand, seventy-two".