803940480 has 384 divisors, whose sum is σ = 3218042880. Its totient is φ = 181149696.

The previous prime is 803940469. The next prime is 803940481. The reversal of 803940480 is 84049308.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (803940481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5120562 + ... + 5120718.

It is an arithmetic number, because the mean of its divisors is an integer number (8380320).

Almost surely, 2^803940480 is an apocalyptic number.

803940480 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 803940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609021440).

803940480 is an abundant number, since it is smaller than the sum of its proper divisors (2414102400).

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

803940480 is a wasteful number, since it uses less digits than its factorization.

803940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 803940480 is about 28353.8441838139. The cubic root of 803940480 is about 929.8394450549.

Adding to 803940480 its reverse (84049308), we get a palindrome (887989788).

The spelling of 803940480 in words is "eight hundred three million, nine hundred forty thousand, four hundred eighty".