827206788 has 48 divisors (see below), whose sum is σ = 2022048000. Its totient is φ = 262848768.

The previous prime is 827206769. The next prime is 827206811. The reversal of 827206788 is 887602728.

It is a super-2 number, since 2×827206788² = 1368542140226553888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12448 + ... + 42536.

It is an arithmetic number, because the mean of its divisors is an integer number (42126000).

Almost surely, 2^827206788 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 827206788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011024000).

827206788 is an abundant number, since it is smaller than the sum of its proper divisors (1194841212).

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

827206788 is a wasteful number, since it uses less digits than its factorization.

827206788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30204 (or 30202 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 827206788 is about 28761.2028260294. The cubic root of 827206788 is about 938.7242343090.

The spelling of 827206788 in words is "eight hundred twenty-seven million, two hundred six thousand, seven hundred eighty-eight".