804078144 has 112 divisors (see below), whose sum is σ = 2377074240. Its totient is φ = 266526720.

The previous prime is 804078139. The next prime is 804078173. The reversal of 804078144 is 441870408.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 804078099 and 804078108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332299 + ... + 334709.

Almost surely, 2^804078144 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 804078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188537120).

804078144 is an abundant number, since it is smaller than the sum of its proper divisors (1572996096).

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

804078144 is a wasteful number, since it uses less digits than its factorization.

804078144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 804078144 is about 28356.2716872300. The cubic root of 804078144 is about 929.8925161942.

The spelling of 804078144 in words is "eight hundred four million, seventy-eight thousand, one hundred forty-four".