804877920 has 864 divisors, whose sum is σ = 3751072416. Its totient is φ = 154828800.

The previous prime is 804877897. The next prime is 804877921. The reversal of 804877920 is 29778408.

804877920 is a `hidden beast` number, since 80 + 487 + 7 + 92 + 0 = 666.

It is a super-2 number, since 2×804877920² = 1295656932207052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804877921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13194690 + ... + 13194750.

It is an arithmetic number, because the mean of its divisors is an integer number (4341519).

Almost surely, 2^804877920 is an apocalyptic number.

804877920 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 804877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875536208).

804877920 is an abundant number, since it is smaller than the sum of its proper divisors (2946194496).

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

804877920 is a wasteful number, since it uses less digits than its factorization.

804877920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 804877920 is about 28370.3704593366. The cubic root of 804877920 is about 930.2007197700.

The spelling of 804877920 in words is "eight hundred four million, eight hundred seventy-seven thousand, nine hundred twenty".