804028135680 has 1728 divisors, whose sum is σ = 3664129996800. Its totient is φ = 163950428160.

The previous prime is 804028135657. The next prime is 804028135697. The reversal of 804028135680 is 86531820408.

804028135680 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 2 + 81 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×804028135680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1413054436 + ... + 1413055004.

It is an arithmetic number, because the mean of its divisors is an integer number (2120445600).

Almost surely, 2^804028135680 is an apocalyptic number.

804028135680 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 804028135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832064998400).

804028135680 is an abundant number, since it is smaller than the sum of its proper divisors (2860101861120).

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

804028135680 is a wasteful number, since it uses less digits than its factorization.

804028135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 804028135680 in words is "eight hundred four billion, twenty-eight million, one hundred thirty-five thousand, six hundred eighty".