827259012 has 72 divisors (see below), whose sum is σ = 2214226560. Its totient is φ = 259692480.

The previous prime is 827259011. The next prime is 827259029. The reversal of 827259012 is 210952728.

It is a super-2 number, since 2×827259012² = 1368714945870432288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (827259011) 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, 114837 + ... + 121827.

Almost surely, 2^827259012 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 827259012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107113280).

827259012 is an abundant number, since it is smaller than the sum of its proper divisors (1386967548).

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

827259012 is a wasteful number, since it uses less digits than its factorization.

827259012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7193 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 827259012 is about 28762.1107014072. The cubic root of 827259012 is about 938.7439887015.

The spelling of 827259012 in words is "eight hundred twenty-seven million, two hundred fifty-nine thousand, twelve".