803270880 has 144 divisors (see below), whose sum is σ = 2749088160. Its totient is φ = 213586944.

The previous prime is 803270873. The next prime is 803270891. The reversal of 803270880 is 88072308.

803270880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 723766 + ... + 724874.

It is an arithmetic number, because the mean of its divisors is an integer number (19090890).

Almost surely, 2^803270880 is an apocalyptic number.

803270880 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 803270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374544080).

803270880 is an abundant number, since it is smaller than the sum of its proper divisors (1945817280).

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

803270880 is a wasteful number, since it uses less digits than its factorization.

803270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1622 counting only the distinct ones).

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

The square root of 803270880 is about 28342.0338014053. The cubic root of 803270880 is about 929.5812197062.

The spelling of 803270880 in words is "eight hundred three million, two hundred seventy thousand, eight hundred eighty".