827220740 has 48 divisors (see below), whose sum is σ = 1798809600. Its totient is φ = 319213440.

The previous prime is 827220739. The next prime is 827220749. The reversal of 827220740 is 47022728.

It is a happy number.

It is a super-2 number, since 2×827220740² = 1368588305372295200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827220697 and 827220706.

It is not an unprimeable number, because it can be changed into a prime (827220749) 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, 214469 + ... + 218291.

It is an arithmetic number, because the mean of its divisors is an integer number (37475200).

Almost surely, 2^827220740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827220740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899404800).

827220740 is an abundant number, since it is smaller than the sum of its proper divisors (971588860).

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

827220740 is a wasteful number, since it uses less digits than its factorization.

827220740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 827220740 is about 28761.4453739724. The cubic root of 827220740 is about 938.7295119119.

The spelling of 827220740 in words is "eight hundred twenty-seven million, two hundred twenty thousand, seven hundred forty".