827422480 has 40 divisors (see below), whose sum is σ = 1930959000. Its totient is φ = 329730048.

The previous prime is 827422471. The next prime is 827422481. The reversal of 827422480 is 84224728.

It can be written as a sum of positive squares in 4 ways, for example, as 66324736 + 761097744 = 8144^2 + 27588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (827422481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2296 + ... + 40744.

It is an arithmetic number, because the mean of its divisors is an integer number (48273975).

Almost surely, 2^827422480 is an apocalyptic number.

827422480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827422480 is an abundant number, since it is smaller than the sum of its proper divisors (1103536520).

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

827422480 is a wasteful number, since it uses less digits than its factorization.

827422480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38731 (or 38725 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 37.

The square root of 827422480 is about 28764.9522857244. The cubic root of 827422480 is about 938.8058171791.

The spelling of 827422480 in words is "eight hundred twenty-seven million, four hundred twenty-two thousand, four hundred eighty".