802819680 has 96 divisors (see below), whose sum is σ = 2723432544. Its totient is φ = 197615616.

The previous prime is 802819651. The next prime is 802819697. The reversal of 802819680 is 86918208.

802819680 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 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, 58089 + ... + 70568.

It is an arithmetic number, because the mean of its divisors is an integer number (28369089).

Almost surely, 2^802819680 is an apocalyptic number.

802819680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802819680 is an abundant number, since it is smaller than the sum of its proper divisors (1920612864).

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

802819680 is a wasteful number, since it uses less digits than its factorization.

802819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128688 (or 128680 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 802819680 is about 28334.0727746648. The cubic root of 802819680 is about 929.4071374581.

The spelling of 802819680 in words is "eight hundred two million, eight hundred nineteen thousand, six hundred eighty".