800045875440 has 640 divisors, whose sum is σ = 3292246425600. Its totient is φ = 174601405440.

The previous prime is 800045875381. The next prime is 800045875459. The reversal of 800045875440 is 44578540008.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229172095 + ... + 229175585.

It is an arithmetic number, because the mean of its divisors is an integer number (5144135040).

Almost surely, 2^800045875440 is an apocalyptic number.

800045875440 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 800045875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646123212800).

800045875440 is an abundant number, since it is smaller than the sum of its proper divisors (2492200550160).

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

800045875440 is a wasteful number, since it uses less digits than its factorization.

800045875440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 800045875440 in words is "eight hundred billion, forty-five million, eight hundred seventy-five thousand, four hundred forty".