808800240 has 40 divisors (see below), whose sum is σ = 2507281488. Its totient is φ = 215680000.

The previous prime is 808800233. The next prime is 808800247. The reversal of 808800240 is 42008808.

808800240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (808800233) and next prime (808800247).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 808800198 and 808800207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808800247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1684761 + ... + 1685240.

Almost surely, 2^808800240 is an apocalyptic number.

808800240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

808800240 is an abundant number, since it is smaller than the sum of its proper divisors (1698481248).

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

808800240 is a wasteful number, since it uses less digits than its factorization.

808800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370017 (or 3370011 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 808800240 is about 28439.4134960621. The cubic root of 808800240 is about 931.7092856906.

The spelling of 808800240 in words is "eight hundred eight million, eight hundred thousand, two hundred forty".