802872960 has 128 divisors (see below), whose sum is σ = 2670572160. Its totient is φ = 204779520.

The previous prime is 802872929. The next prime is 802872979. The reversal of 802872960 is 69278208.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35070 + ... + 53250.

It is an arithmetic number, because the mean of its divisors is an integer number (20863845).

Almost surely, 2^802872960 is an apocalyptic number.

802872960 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 802872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335286080).

802872960 is an abundant number, since it is smaller than the sum of its proper divisors (1867699200).

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

802872960 is a wasteful number, since it uses less digits than its factorization.

802872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18226 (or 18214 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 802872960 is about 28335.0129698223. The cubic root of 802872960 is about 929.4276973746.

The spelling of 802872960 in words is "eight hundred two million, eight hundred seventy-two thousand, nine hundred sixty".