828339760 has 120 divisors (see below), whose sum is σ = 2050114320. Its totient is φ = 310818816.

The previous prime is 828339749. The next prime is 828339793. The reversal of 828339760 is 67933828.

It is a super-2 number, since 2×828339760² = 1372293515993715200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 828339760.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11347084 + ... + 11347156.

It is an arithmetic number, because the mean of its divisors is an integer number (17084286).

Almost surely, 2^828339760 is an apocalyptic number.

828339760 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 828339760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025057160).

828339760 is an abundant number, since it is smaller than the sum of its proper divisors (1221774560).

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

828339760 is a wasteful number, since it uses less digits than its factorization.

828339760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 828339760 is about 28780.8922724783. The cubic root of 828339760 is about 939.1526088903.

The spelling of 828339760 in words is "eight hundred twenty-eight million, three hundred thirty-nine thousand, seven hundred sixty".