804142560 has 288 divisors, whose sum is σ = 2868784128. Its totient is φ = 188897280.

The previous prime is 804142499. The next prime is 804142561. The reversal of 804142560 is 65241408.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804142561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1865545 + ... + 1865975.

It is an arithmetic number, because the mean of its divisors is an integer number (9961056).

Almost surely, 2^804142560 is an apocalyptic number.

804142560 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 804142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434392064).

804142560 is an abundant number, since it is smaller than the sum of its proper divisors (2064641568).

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

804142560 is a wasteful number, since it uses less digits than its factorization.

804142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 804142560 is about 28357.4074978655. The cubic root of 804142560 is about 929.9173472620.

Adding to 804142560 its reverse (65241408), we get a palindrome (869383968).

The spelling of 804142560 in words is "eight hundred four million, one hundred forty-two thousand, five hundred sixty".