803676768 has 96 divisors (see below), whose sum is σ = 2310910560. Its totient is φ = 243425280.

The previous prime is 803676749. The next prime is 803676827. The reversal of 803676768 is 867676308.

803676768 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 803676768.

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, 38838 + ... + 55818.

It is an arithmetic number, because the mean of its divisors is an integer number (24071985).

Almost surely, 2^803676768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803676768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155455280).

803676768 is an abundant number, since it is smaller than the sum of its proper divisors (1507233792).

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

803676768 is a wasteful number, since it uses less digits than its factorization.

803676768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17040 (or 17032 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 803676768 is about 28349.1934276797. The cubic root of 803676768 is about 929.7377639635.

The spelling of 803676768 in words is "eight hundred three million, six hundred seventy-six thousand, seven hundred sixty-eight".