804379905 has 48 divisors (see below), whose sum is σ = 1687181184. Its totient is φ = 346083840.

The previous prime is 804379841. The next prime is 804379907. The reversal of 804379905 is 509973408.

It is not a de Polignac number, because 804379905 - 2⁶ = 804379841 is a prime.

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 (804379907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69751 + ... + 80460.

It is an arithmetic number, because the mean of its divisors is an integer number (35149608).

Almost surely, 2^804379905 is an apocalyptic number.

804379905 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

804379905 is an abundant number, since it is smaller than the sum of its proper divisors (882801279).

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

804379905 is a wasteful number, since it uses less digits than its factorization.

804379905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150246 (or 150243 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 804379905 is about 28361.5920744940. The cubic root of 804379905 is about 930.0088275263.

The spelling of 804379905 in words is "eight hundred four million, three hundred seventy-nine thousand, nine hundred five".