827249280 has 512 divisors, whose sum is σ = 3257210880. Its totient is φ = 175718400.

The previous prime is 827249263. The next prime is 827249299. The reversal of 827249280 is 82942728.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6314815 + ... + 6314945.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^827249280 is an apocalyptic number.

827249280 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 827249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628605440).

827249280 is an abundant number, since it is smaller than the sum of its proper divisors (2429961600).

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

827249280 is a wasteful number, since it uses less digits than its factorization.

827249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 827249280 is about 28761.9415200017. The cubic root of 827249280 is about 938.7403075117.

The spelling of 827249280 in words is "eight hundred twenty-seven million, two hundred forty-nine thousand, two hundred eighty".