827489520 has 800 divisors, whose sum is σ = 3629767680. Its totient is φ = 171694080.

The previous prime is 827489519. The next prime is 827489587. The reversal of 827489520 is 25984728.

827489520 is a `hidden beast` number, since 82 + 7 + 48 + 9 + 520 = 666.

827489520 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17606137 + ... + 17606183.

Almost surely, 2^827489520 is an apocalyptic number.

827489520 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 827489520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814883840).

827489520 is an abundant number, since it is smaller than the sum of its proper divisors (2802278160).

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

827489520 is a wasteful number, since it uses less digits than its factorization.

827489520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 827489520 is about 28766.1175691125. The cubic root of 827489520 is about 938.8311713537.

The spelling of 827489520 in words is "eight hundred twenty-seven million, four hundred eighty-nine thousand, five hundred twenty".