805415520 has 192 divisors, whose sum is σ = 3122703360. Its totient is φ = 169924608.

The previous prime is 805415503. The next prime is 805415539. The reversal of 805415520 is 25514508.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34461 + ... + 52899.

It is an arithmetic number, because the mean of its divisors is an integer number (16264080).

Almost surely, 2^805415520 is an apocalyptic number.

805415520 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 805415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561351680).

805415520 is an abundant number, since it is smaller than the sum of its proper divisors (2317287840).

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

805415520 is a wasteful number, since it uses less digits than its factorization.

805415520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18469 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 805415520 is about 28379.8435513658. The cubic root of 805415520 is about 930.4077758538.

The spelling of 805415520 in words is "eight hundred five million, four hundred fifteen thousand, five hundred twenty".