803760960 has 112 divisors (see below), whose sum is σ = 2560320000. Its totient is φ = 213633024.

The previous prime is 803760943. The next prime is 803760973. The reversal of 803760960 is 69067308.

803760960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333841 + ... + 336239.

It is an arithmetic number, because the mean of its divisors is an integer number (22860000).

Almost surely, 2^803760960 is an apocalyptic number.

803760960 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 803760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280160000).

803760960 is an abundant number, since it is smaller than the sum of its proper divisors (1756559040).

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

803760960 is a wasteful number, since it uses less digits than its factorization.

803760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 803760960 is about 28350.6782987639. The cubic root of 803760960 is about 929.7702288182.

The spelling of 803760960 in words is "eight hundred three million, seven hundred sixty thousand, nine hundred sixty".