827770000 has 200 divisors, whose sum is σ = 2161558080. Its totient is φ = 306240000.

The previous prime is 827769989. The next prime is 827770003. The reversal of 827770000 is 77728.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (827770003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13569970 + ... + 13570030.

Almost surely, 2^827770000 is an apocalyptic number.

827770000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080779040).

827770000 is an abundant number, since it is smaller than the sum of its proper divisors (1333788080).

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

827770000 is a wasteful number, since it uses less digits than its factorization.

827770000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

The square root of 827770000 is about 28770.9923360318. The cubic root of 827770000 is about 938.9372325645.

The spelling of 827770000 in words is "eight hundred twenty-seven million, seven hundred seventy thousand".