827718880 has 48 divisors (see below), whose sum is σ = 1997110080. Its totient is φ = 324040192.

The previous prime is 827718877. The next prime is 827718889. The reversal of 827718880 is 88817728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827718889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47515 + ... + 62554.

It is an arithmetic number, because the mean of its divisors is an integer number (41606460).

Almost surely, 2^827718880 is an apocalyptic number.

827718880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827718880 is an abundant number, since it is smaller than the sum of its proper divisors (1169391200).

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

827718880 is a wasteful number, since it uses less digits than its factorization.

827718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110131 (or 110123 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 49.

The square root of 827718880 is about 28770.1039275148. The cubic root of 827718880 is about 938.9179037415.

The spelling of 827718880 in words is "eight hundred twenty-seven million, seven hundred eighteen thousand, eight hundred eighty".