804028680 has 512 divisors, whose sum is σ = 3372364800. Its totient is φ = 167961600.

The previous prime is 804028661. The next prime is 804028691. The reversal of 804028680 is 86820408.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7960630 + ... + 7960730.

It is an arithmetic number, because the mean of its divisors is an integer number (6586650).

Almost surely, 2^804028680 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 804028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686182400).

804028680 is an abundant number, since it is smaller than the sum of its proper divisors (2568336120).

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

804028680 is a wasteful number, since it uses less digits than its factorization.

804028680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 804028680 is about 28355.3994858122. The cubic root of 804028680 is about 929.8734479204.

The spelling of 804028680 in words is "eight hundred four million, twenty-eight thousand, six hundred eighty".