804242880 has 504 divisors, whose sum is σ = 3320094960. Its totient is φ = 178053120.

The previous prime is 804242869. The next prime is 804242899. The reversal of 804242880 is 88242408.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×804242880² = 1293613220061388800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5785851 + ... + 5785989.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^804242880 is an apocalyptic number.

804242880 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 804242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660047480).

804242880 is an abundant number, since it is smaller than the sum of its proper divisors (2515852080).

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

804242880 is a wasteful number, since it uses less digits than its factorization.

804242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 804242880 is about 28359.1762926923. The cubic root of 804242880 is about 929.9560159566.

The spelling of 804242880 in words is "eight hundred four million, two hundred forty-two thousand, eight hundred eighty".