806735520 has 72 divisors (see below), whose sum is σ = 2752989876. Its totient is φ = 215129088.

The previous prime is 806735509. The next prime is 806735533. The reversal of 806735520 is 25537608.

It can be written as a sum of positive squares in 2 ways, for example, as 742671504 + 64064016 = 27252^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278677 + ... + 281556.

Almost surely, 2^806735520 is an apocalyptic number.

806735520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806735520 is an abundant number, since it is smaller than the sum of its proper divisors (1946254356).

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

806735520 is a wasteful number, since it uses less digits than its factorization.

806735520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560254 (or 560243 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 806735520 is about 28403.0899727477. The cubic root of 806735520 is about 930.9157819325.

The spelling of 806735520 in words is "eight hundred six million, seven hundred thirty-five thousand, five hundred twenty".