828419760 has 480 divisors, whose sum is σ = 3444779520. Its totient is φ = 174182400.

The previous prime is 828419723. The next prime is 828419777. The reversal of 828419760 is 67914828.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3926055 + ... + 3926265.

It is an arithmetic number, because the mean of its divisors is an integer number (7176624).

Almost surely, 2^828419760 is an apocalyptic number.

828419760 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 828419760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722389760).

828419760 is an abundant number, since it is smaller than the sum of its proper divisors (2616359760).

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

828419760 is a wasteful number, since it uses less digits than its factorization.

828419760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 828419760 is about 28782.2820499001. The cubic root of 828419760 is about 939.1828419716.

The spelling of 828419760 in words is "eight hundred twenty-eight million, four hundred nineteen thousand, seven hundred sixty".