804487680 has 320 divisors, whose sum is σ = 2910885120. Its totient is φ = 210567168.

The previous prime is 804487601. The next prime is 804487687. The reversal of 804487680 is 86784408.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (804487687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7119304 + ... + 7119416.

It is an arithmetic number, because the mean of its divisors is an integer number (9096516).

Almost surely, 2^804487680 is an apocalyptic number.

804487680 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 804487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455442560).

804487680 is an abundant number, since it is smaller than the sum of its proper divisors (2106397440).

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

804487680 is a wasteful number, since it uses less digits than its factorization.

804487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 804487680 is about 28363.4920276048. The cubic root of 804487680 is about 930.0503614767.

The spelling of 804487680 in words is "eight hundred four million, four hundred eighty-seven thousand, six hundred eighty".