827110842880 has 480 divisors, whose sum is σ = 2401345875456. Its totient is φ = 272207609856.

The previous prime is 827110842869. The next prime is 827110842889. The reversal of 827110842880 is 88248011728.

It is a happy number.

It is a super-2 number, since 2×827110842880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (827110842889) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312469717 + ... + 312472363.

Almost surely, 2^827110842880 is an apocalyptic number.

827110842880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827110842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200672937728).

827110842880 is an abundant number, since it is smaller than the sum of its proper divisors (1574235032576).

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

827110842880 is a wasteful number, since it uses less digits than its factorization.

827110842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 49.

The spelling of 827110842880 in words is "eight hundred twenty-seven billion, one hundred ten million, eight hundred forty-two thousand, eight hundred eighty".