802368 has 84 divisors (see below), whose sum is σ = 2641600. Its totient is φ = 228096.

The previous prime is 802357. The next prime is 802387. The reversal of 802368 is 863208.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802368.

It is an unprimeable number.

802368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3933 + ... + 4131.

2⁸⁰²³⁶⁸ 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 802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320800).

802368 is an abundant number, since it is smaller than the sum of its proper divisors (1839232).

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

802368 is a wasteful number, since it uses less digits than its factorization.

802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 802368 is about 895.7499651130. The cubic root of 802368 is about 92.9232804675.

The spelling of 802368 in words is "eight hundred two thousand, three hundred sixty-eight".