815729280 has 256 divisors, whose sum is σ = 2790720000. Its totient is φ = 202051584.

The previous prime is 815729279. The next prime is 815729297. The reversal of 815729280 is 82927518.

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 31 ways as a sum of consecutive naturals, for example, 2152131 + ... + 2152509.

It is an arithmetic number, because the mean of its divisors is an integer number (10901250).

Almost surely, 2^815729280 is an apocalyptic number.

815729280 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 815729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395360000).

815729280 is an abundant number, since it is smaller than the sum of its proper divisors (1974990720).

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

815729280 is a wasteful number, since it uses less digits than its factorization.

815729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 815729280 is about 28560.9747732811. The cubic root of 815729280 is about 934.3623933229.

The spelling of 815729280 in words is "eight hundred fifteen million, seven hundred twenty-nine thousand, two hundred eighty".