804192480 has 864 divisors, whose sum is σ = 3774423744. Its totient is φ = 151289856.

The previous prime is 804192469. The next prime is 804192481. The reversal of 804192480 is 84291408.

804192480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804192481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42325911 + ... + 42325929.

It is an arithmetic number, because the mean of its divisors is an integer number (4368546).

Almost surely, 2^804192480 is an apocalyptic number.

804192480 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 804192480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887211872).

804192480 is an abundant number, since it is smaller than the sum of its proper divisors (2970231264).

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

804192480 is a wasteful number, since it uses less digits than its factorization.

804192480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 804192480 is about 28358.2876775027. The cubic root of 804192480 is about 929.9365895024.

The spelling of 804192480 in words is "eight hundred four million, one hundred ninety-two thousand, four hundred eighty".