807243840 has 224 divisors, whose sum is σ = 3067263360. Its totient is φ = 198678528.

The previous prime is 807243821. The next prime is 807243869. The reversal of 807243840 is 48342708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 807243795 and 807243804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108727 + ... + 115913.

It is an arithmetic number, because the mean of its divisors is an integer number (13693140).

Almost surely, 2^807243840 is an apocalyptic number.

807243840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533631680).

807243840 is an abundant number, since it is smaller than the sum of its proper divisors (2260019520).

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

807243840 is a wasteful number, since it uses less digits than its factorization.

807243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 807243840 is about 28412.0368857989. The cubic root of 807243840 is about 931.1112626676. Note that the first 3 decimals are identical.

The spelling of 807243840 in words is "eight hundred seven million, two hundred forty-three thousand, eight hundred forty".