820827504 has 120 divisors (see below), whose sum is σ = 2657246592. Its totient is φ = 231672960.

The previous prime is 820827481. The next prime is 820827523. The reversal of 820827504 is 405728028.

It is a happy number.

820827504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 78759 + ... + 88569.

Almost surely, 2^820827504 is an apocalyptic number.

820827504 is a gapful number since it is divisible by the number (84) 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 820827504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328623296).

820827504 is an abundant number, since it is smaller than the sum of its proper divisors (1836419088).

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

820827504 is a wasteful number, since it uses less digits than its factorization.

820827504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 820827504 is about 28650.0873297098. The cubic root of 820827504 is about 936.3049083337.

The spelling of 820827504 in words is "eight hundred twenty million, eight hundred twenty-seven thousand, five hundred four".