804644680 has 384 divisors, whose sum is σ = 2482099200. Its totient is φ = 232243200.

The previous prime is 804644677. The next prime is 804644689. The reversal of 804644680 is 86446408.

It is a super-2 number, since 2×804644680² = 1294906122104604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (804644689) 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 95 ways as a sum of consecutive naturals, for example, 19625460 + ... + 19625500.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^804644680 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 804644680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

804644680 is an abundant number, since it is smaller than the sum of its proper divisors (1677454520).

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

804644680 is a wasteful number, since it uses less digits than its factorization.

804644680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 804644680 is about 28366.2595348770. The cubic root of 804644680 is about 930.1108589472.

The spelling of 804644680 in words is "eight hundred four million, six hundred forty-four thousand, six hundred eighty".