827331480 has 48 divisors (see below), whose sum is σ = 2688828480. Its totient is φ = 220621632.

The previous prime is 827331457. The next prime is 827331493. The reversal of 827331480 is 84133728.

827331480 is a `hidden beast` number, since 82 + 73 + 31 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1148712 + ... + 1149431.

It is an arithmetic number, because the mean of its divisors is an integer number (56017260).

Almost surely, 2^827331480 is an apocalyptic number.

It is an amenable number.

827331480 is an abundant number, since it is smaller than the sum of its proper divisors (1861497000).

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

827331480 is a wasteful number, since it uses less digits than its factorization.

827331480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298160 (or 2298153 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 827331480 is about 28763.3704561896. The cubic root of 827331480 is about 938.7713992674.

The spelling of 827331480 in words is "eight hundred twenty-seven million, three hundred thirty-one thousand, four hundred eighty".