807241344 has 192 divisors, whose sum is σ = 2655051840. Its totient is φ = 212779008.

The previous prime is 807241343. The next prime is 807241349. The reversal of 807241344 is 443142708.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (807241343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453384 + ... + 455160.

It is an arithmetic number, because the mean of its divisors is an integer number (13828395).

Almost surely, 2^807241344 is an apocalyptic number.

807241344 is a gapful number since it is divisible by the number (84) 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 807241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327525920).

807241344 is an abundant number, since it is smaller than the sum of its proper divisors (1847810496).

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

807241344 is a wasteful number, since it uses less digits than its factorization.

807241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 807241344 is about 28411.9929607200. The cubic root of 807241344 is about 931.1103030005.

It can be divided in two parts, 80724 and 1344, that multiplied together give a square (108493056 = 10416²).

The spelling of 807241344 in words is "eight hundred seven million, two hundred forty-one thousand, three hundred forty-four".