827970912 has 72 divisors (see below), whose sum is σ = 2373186816. Its totient is φ = 273805056.

The previous prime is 827970911. The next prime is 827970917. The reversal of 827970912 is 219079728.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×827970912² = 1371071662236223488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827970911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25258 + ... + 47894.

It is an arithmetic number, because the mean of its divisors is an integer number (32960928).

Almost surely, 2^827970912 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 827970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186593408).

827970912 is an abundant number, since it is smaller than the sum of its proper divisors (1545215904).

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

827970912 is a wasteful number, since it uses less digits than its factorization.

827970912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22780 (or 22769 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 827970912 is about 28774.4836964975. The cubic root of 827970912 is about 939.0131910623.

The spelling of 827970912 in words is "eight hundred twenty-seven million, nine hundred seventy thousand, nine hundred twelve".