804118676400 has 960 divisors, whose sum is σ = 3332545036800. Its totient is φ = 182428692480.

The previous prime is 804118676393. The next prime is 804118676441. The reversal of 804118676400 is 4676811408.

804118676400 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 (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, 98697127 + ... + 98705273.

It is an arithmetic number, because the mean of its divisors is an integer number (3471401080).

Almost surely, 2^804118676400 is an apocalyptic number.

804118676400 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 804118676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666272518400).

804118676400 is an abundant number, since it is smaller than the sum of its proper divisors (2528426360400).

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

804118676400 is a wasteful number, since it uses less digits than its factorization.

804118676400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 804118676400 in words is "eight hundred four billion, one hundred eighteen million, six hundred seventy-six thousand, four hundred".