805867920 has 320 divisors, whose sum is σ = 3262291200. Its totient is φ = 180264960.

The previous prime is 805867897. The next prime is 805867927. The reversal of 805867920 is 29768508.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (805867927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307576 + ... + 310184.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2^805867920 is an apocalyptic number.

805867920 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 805867920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631145600).

805867920 is an abundant number, since it is smaller than the sum of its proper divisors (2456423280).

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

805867920 is a wasteful number, since it uses less digits than its factorization.

805867920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 805867920 is about 28387.8128780644. The cubic root of 805867920 is about 930.5819458661.

The spelling of 805867920 in words is "eight hundred five million, eight hundred sixty-seven thousand, nine hundred twenty".