804112920 has 320 divisors, whose sum is σ = 3084570720. Its totient is φ = 186126336.

The previous prime is 804112879. The next prime is 804112921. The reversal of 804112920 is 29211408.

It is a super-2 number, since 2×804112920² = 1293195176221852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804112921) 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 79 ways as a sum of consecutive naturals, for example, 715479 + ... + 716601.

Almost surely, 2^804112920 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 804112920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542285360).

804112920 is an abundant number, since it is smaller than the sum of its proper divisors (2280457800).

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

804112920 is a wasteful number, since it uses less digits than its factorization.

804112920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 804112920 is about 28356.8848782796. The cubic root of 804112920 is about 929.9059218050.

The spelling of 804112920 in words is "eight hundred four million, one hundred twelve thousand, nine hundred twenty".