827753250 has 64 divisors (see below), whose sum is σ = 2084569344. Its totient is φ = 218758400.

The previous prime is 827753249. The next prime is 827753257. The reversal of 827753250 is 52357728.

It is a junction number, because it is equal to n+sod(n) for n = 827753199 and 827753208.

It is not an unprimeable number, because it can be changed into a prime (827753257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79867 + ... + 89633.

It is an arithmetic number, because the mean of its divisors is an integer number (32571396).

Almost surely, 2^827753250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827753250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042284672).

827753250 is an abundant number, since it is smaller than the sum of its proper divisors (1256816094).

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

827753250 is a wasteful number, since it uses less digits than its factorization.

827753250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9900 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 827753250 is about 28770.7012427574. The cubic root of 827753250 is about 938.9308993621.

The spelling of 827753250 in words is "eight hundred twenty-seven million, seven hundred fifty-three thousand, two hundred fifty".