802404 has 36 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 258480.

The previous prime is 802387. The next prime is 802421. The reversal of 802404 is 404208.

It is a happy number.

802404 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 (802387) and next prime (802421).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 802404.

It is an unprimeable number.

802404 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, 757 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

2⁸⁰²⁴⁰⁴ 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 802404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

802404 is an abundant number, since it is smaller than the sum of its proper divisors (1294236).

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

802404 is a wasteful number, since it uses less digits than its factorization.

802404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 802404 is about 895.7700597810. The cubic root of 802404 is about 92.9246701823.

The spelling of 802404 in words is "eight hundred two thousand, four hundred four".