802349604 has 96 divisors (see below), whose sum is σ = 2384928000. Its totient is φ = 228510720.

The previous prime is 802349593. The next prime is 802349633. The reversal of 802349604 is 406943208.

It is a happy number.

802349604 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 49 + 604 = 666.

802349604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262324 + ... + 265364.

It is an arithmetic number, because the mean of its divisors is an integer number (24843000).

Almost surely, 2^802349604 is an apocalyptic number.

802349604 is a gapful number since it is divisible by the number (84) 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 802349604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192464000).

802349604 is an abundant number, since it is smaller than the sum of its proper divisors (1582578396).

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

802349604 is a wasteful number, since it uses less digits than its factorization.

802349604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 802349604 is about 28325.7763176934. The cubic root of 802349604 is about 929.2257030715.

The spelling of 802349604 in words is "eight hundred two million, three hundred forty-nine thousand, six hundred four".