807055344 has 60 divisors (see below), whose sum is σ = 2267078112. Its totient is φ = 268012800.

The previous prime is 807055313. The next prime is 807055373. The reversal of 807055344 is 443550708.

807055344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 807055299 and 807055308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28684 + ... + 49364.

Almost surely, 2^807055344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807055344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133539056).

807055344 is an abundant number, since it is smaller than the sum of its proper divisors (1460022768).

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

807055344 is a wasteful number, since it uses less digits than its factorization.

807055344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20966 (or 20957 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 807055344 is about 28408.7195065177. The cubic root of 807055344 is about 931.0387837781.

The spelling of 807055344 in words is "eight hundred seven million, fifty-five thousand, three hundred forty-four".