804142080 has 440 divisors, whose sum is σ = 3305135328. Its totient is φ = 183140352.

The previous prime is 804142063. The next prime is 804142099. The reversal of 804142080 is 80241408.

804142080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2902902 + ... + 2903178.

Almost surely, 2^804142080 is an apocalyptic number.

804142080 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 804142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652567664).

804142080 is an abundant number, since it is smaller than the sum of its proper divisors (2500993248).

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

804142080 is a wasteful number, since it uses less digits than its factorization.

804142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 804142080 is about 28357.3990344672. The cubic root of 804142080 is about 929.9171622366.

Adding to 804142080 its reverse (80241408), we get a palindrome (884383488).

It can be divided in two parts, 804 and 142080, that added together give a square (142884 = 378²).

The spelling of 804142080 in words is "eight hundred four million, one hundred forty-two thousand, eighty".