827402240 has 288 divisors, whose sum is σ = 2470464360. Its totient is φ = 264241152.

The previous prime is 827402237. The next prime is 827402243. The reversal of 827402240 is 42204728.

It is an interprime number because it is at equal distance from previous prime (827402237) and next prime (827402243).

It can be written as a sum of positive squares in 4 ways, for example, as 734626816 + 92775424 = 27104^2 + 9632^2 .

It is not an unprimeable number, because it can be changed into a prime (827402243) 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, 8529872 + ... + 8529968.

Almost surely, 2^827402240 is an apocalyptic number.

827402240 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 827402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235232180).

827402240 is an abundant number, since it is smaller than the sum of its proper divisors (1643062120).

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

827402240 is a wasteful number, since it uses less digits than its factorization.

827402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 827402240 is about 28764.6004665457. The cubic root of 827402240 is about 938.7981622486.

Adding to 827402240 its reverse (42204728), we get a palindrome (869606968).

The spelling of 827402240 in words is "eight hundred twenty-seven million, four hundred two thousand, two hundred forty".