827080404480 has 240 divisors, whose sum is σ = 3124814110704. Its totient is φ = 200504279040.

The previous prime is 827080404439. The next prime is 827080404481. The reversal of 827080404480 is 84404080728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827080404481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378269 + ... + 1885148.

Almost surely, 2^827080404480 is an apocalyptic number.

827080404480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827080404480 is an abundant number, since it is smaller than the sum of its proper divisors (2297733706224).

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

827080404480 is a wasteful number, since it uses less digits than its factorization.

827080404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263457 (or 3263438 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 827080404480 in words is "eight hundred twenty-seven billion, eighty million, four hundred four thousand, four hundred eighty".