827682480 has 60 divisors (see below), whose sum is σ = 2779636080. Its totient is φ = 220715136.

The previous prime is 827682463. The next prime is 827682511. The reversal of 827682480 is 84286728.

It is a happy number.

827682480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574060 + ... + 575499.

It is an arithmetic number, because the mean of its divisors is an integer number (46327268).

Almost surely, 2^827682480 is an apocalyptic number.

827682480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827682480 is an abundant number, since it is smaller than the sum of its proper divisors (1951953600).

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

827682480 is a wasteful number, since it uses less digits than its factorization.

827682480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149578 (or 1149569 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 827682480 is about 28769.4713194386. The cubic root of 827682480 is about 938.9041401665.

The spelling of 827682480 in words is "eight hundred twenty-seven million, six hundred eighty-two thousand, four hundred eighty".