827134000 has 320 divisors, whose sum is σ = 2573835264. Its totient is φ = 249600000.

The previous prime is 827133977. The next prime is 827134051. The reversal of 827134000 is 431728.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6313935 + ... + 6314065.

Almost surely, 2^827134000 is an apocalyptic number.

827134000 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 827134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

827134000 is an abundant number, since it is smaller than the sum of its proper divisors (1746701264).

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

827134000 is a wasteful number, since it uses less digits than its factorization.

827134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 827134000 is about 28759.9374130056. The cubic root of 827134000 is about 938.6966999347.

Adding to 827134000 its reverse (431728), we get a palindrome (827565728).

The spelling of 827134000 in words is "eight hundred twenty-seven million, one hundred thirty-four thousand".