806579280 has 480 divisors, whose sum is σ = 3195357984. Its totient is φ = 180486144.

The previous prime is 806579269. The next prime is 806579311. The reversal of 806579280 is 82975608.

It can be written as a sum of positive squares in 16 ways, for example, as 45481536 + 761097744 = 6744^2 + 27588^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5887372 + ... + 5887508.

Almost surely, 2^806579280 is an apocalyptic number.

806579280 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 806579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597678992).

806579280 is an abundant number, since it is smaller than the sum of its proper divisors (2388778704).

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

806579280 is a wasteful number, since it uses less digits than its factorization.

806579280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

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

The square root of 806579280 is about 28400.3394345913. The cubic root of 806579280 is about 930.8556814127.

The spelling of 806579280 in words is "eight hundred six million, five hundred seventy-nine thousand, two hundred eighty".