802718730240 has 384 divisors, whose sum is σ = 2997423636480. Its totient is φ = 179572506624.

The previous prime is 802718730223. The next prime is 802718730241. The reversal of 802718730240 is 42037817208.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 802718730192 and 802718730201.

It is not an unprimeable number, because it can be changed into a prime (802718730241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10067169 + ... + 10146591.

It is an arithmetic number, because the mean of its divisors is an integer number (7805790720).

Almost surely, 2^802718730240 is an apocalyptic number.

802718730240 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 802718730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498711818240).

802718730240 is an abundant number, since it is smaller than the sum of its proper divisors (2194704906240).

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

802718730240 is a wasteful number, since it uses less digits than its factorization.

802718730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79507 (or 79487 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 802718730240 in words is "eight hundred two billion, seven hundred eighteen million, seven hundred thirty thousand, two hundred forty".