804170880 has 192 divisors, whose sum is σ = 2798523000. Its totient is φ = 212779008.

The previous prime is 804170867. The next prime is 804170891. The reversal of 804170880 is 88071408.

It can be written as a sum of positive squares in 4 ways, for example, as 265559616 + 538611264 = 16296^2 + 23208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857772 + ... + 858708.

Almost surely, 2^804170880 is an apocalyptic number.

804170880 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 804170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399261500).

804170880 is an abundant number, since it is smaller than the sum of its proper divisors (1994352120).

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

804170880 is a wasteful number, since it uses less digits than its factorization.

804170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 804170880 is about 28357.9068338973. The cubic root of 804170880 is about 929.9282636308.

The spelling of 804170880 in words is "eight hundred four million, one hundred seventy thousand, eight hundred eighty".