803278080 has 288 divisors, whose sum is σ = 3111131520. Its totient is φ = 194641920.

The previous prime is 803278043. The next prime is 803278153. The reversal of 803278080 is 80872308.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379104 + ... + 381216.

It is an arithmetic number, because the mean of its divisors is an integer number (10802540).

Almost surely, 2^803278080 is an apocalyptic number.

803278080 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 803278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555565760).

803278080 is an abundant number, since it is smaller than the sum of its proper divisors (2307853440).

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

803278080 is a wasteful number, since it uses less digits than its factorization.

803278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 803278080 is about 28342.1608209395. The cubic root of 803278080 is about 929.5839970860.

The spelling of 803278080 in words is "eight hundred three million, two hundred seventy-eight thousand, eighty".