803847440 has 160 divisors (see below), whose sum is σ = 2168432640. Its totient is φ = 274060800.

The previous prime is 803847419. The next prime is 803847487. The reversal of 803847440 is 44748308.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 803847394 and 803847403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190137 + ... + 2190503.

It is an arithmetic number, because the mean of its divisors is an integer number (13552704).

Almost surely, 2^803847440 is an apocalyptic number.

803847440 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 803847440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084216320).

803847440 is an abundant number, since it is smaller than the sum of its proper divisors (1364585200).

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

803847440 is a wasteful number, since it uses less digits than its factorization.

803847440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 803847440 is about 28352.2034417080. The cubic root of 803847440 is about 929.8035735769.

The spelling of 803847440 in words is "eight hundred three million, eight hundred forty-seven thousand, four hundred forty".