828280753 has 8 divisors (see below), whose sum is σ = 847443776. Its totient is φ = 809298000.

The previous prime is 828280727. The next prime is 828280759. The reversal of 828280753 is 357082828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828280753 - 2⁹ = 828280241 is a prime.

It is a super-3 number, since 3×828280753³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (828280759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35751 + ... + 54172.

It is an arithmetic number, because the mean of its divisors is an integer number (105930472).

Almost surely, 2^828280753 is an apocalyptic number.

It is an amenable number.

828280753 is a deficient number, since it is larger than the sum of its proper divisors (19163023).

828280753 is a wasteful number, since it uses less digits than its factorization.

828280753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90135.

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 828280753 is about 28779.8671470179. The cubic root of 828280753 is about 939.1303080999.

The spelling of 828280753 in words is "eight hundred twenty-eight million, two hundred eighty thousand, seven hundred fifty-three".