802318440 has 256 divisors, whose sum is σ = 3098787840. Its totient is φ = 161280000.

The previous prime is 802318423. The next prime is 802318457. The reversal of 802318440 is 44813208.

802318440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (802318423) and next prime (802318457).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 802318398 and 802318407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285040 + ... + 287840.

It is an arithmetic number, because the mean of its divisors is an integer number (12104640).

Almost surely, 2^802318440 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 802318440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549393920).

802318440 is an abundant number, since it is smaller than the sum of its proper divisors (2296469400).

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

802318440 is a wasteful number, since it uses less digits than its factorization.

802318440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 802318440 is about 28325.2262126889. The cubic root of 802318440 is about 929.2136722541.

The spelling of 802318440 in words is "eight hundred two million, three hundred eighteen thousand, four hundred forty".