800407120 has 20 divisors (see below), whose sum is σ = 1860946740. Its totient is φ = 320162816.

The previous prime is 800407109. The next prime is 800407147. The reversal of 800407120 is 21704008.

It can be written as a sum of positive squares in 2 ways, for example, as 115433536 + 684973584 = 10744^2 + 26172^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 800407091 and 800407100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5002465 + ... + 5002624.

It is an arithmetic number, because the mean of its divisors is an integer number (93047337).

Almost surely, 2^800407120 is an apocalyptic number.

800407120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800407120 is an abundant number, since it is smaller than the sum of its proper divisors (1060539620).

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

800407120 is a wasteful number, since it uses less digits than its factorization.

800407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005102 (or 10005096 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 800407120 is about 28291.4672648839. The cubic root of 800407120 is about 928.4752136545.

The spelling of 800407120 in words is "eight hundred million, four hundred seven thousand, one hundred twenty".