806754816 has 300 divisors, whose sum is σ = 2808141138. Its totient is φ = 229920768.

The previous prime is 806754787. The next prime is 806754833. The reversal of 806754816 is 618457608.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 635040000 + 171714816 = 25200^2 + 13104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2031930 + ... + 2032326.

Almost surely, 2^806754816 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 806754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404070569).

806754816 is an abundant number, since it is smaller than the sum of its proper divisors (2001386322).

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

806754816 is an equidigital number, since it uses as much as digits as its factorization.

806754816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 806754816 is about 28403.4296520684. The cubic root of 806754816 is about 930.9232039468.

It can be divided in two parts, 80675 and 4816, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 806754816 in words is "eight hundred six million, seven hundred fifty-four thousand, eight hundred sixteen".