800309040 has 80 divisors (see below), whose sum is σ = 2523052800. Its totient is φ = 209794816.

The previous prime is 800309039. The next prime is 800309071. The reversal of 800309040 is 40903008.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 800309040.

It is an unprimeable number.

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, 14100 + ... + 42419.

It is an arithmetic number, because the mean of its divisors is an integer number (31538160).

Almost surely, 2^800309040 is an apocalyptic number.

800309040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

800309040 is an abundant number, since it is smaller than the sum of its proper divisors (1722743760).

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

800309040 is a wasteful number, since it uses less digits than its factorization.

800309040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56594 (or 56588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 800309040 is about 28289.7338269557. The cubic root of 800309040 is about 928.4372877180.

The spelling of 800309040 in words is "eight hundred million, three hundred nine thousand, forty".