827734880 has 96 divisors (see below), whose sum is σ = 2256097536. Its totient is φ = 281101824.

The previous prime is 827734861. The next prime is 827734889. The reversal of 827734880 is 88437728.

It is a happy number.

It is a super-2 number, since 2×827734880² = 1370290063137228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827734889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116387 + ... + 123293.

It is an arithmetic number, because the mean of its divisors is an integer number (23501016).

Almost surely, 2^827734880 is an apocalyptic number.

827734880 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 827734880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128048768).

827734880 is an abundant number, since it is smaller than the sum of its proper divisors (1428362656).

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

827734880 is a wasteful number, since it uses less digits than its factorization.

827734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 827734880 is about 28770.3819925979. The cubic root of 827734880 is about 938.9239535369.

The spelling of 827734880 in words is "eight hundred twenty-seven million, seven hundred thirty-four thousand, eight hundred eighty".