827232000 has 288 divisors, whose sum is σ = 3142723584. Its totient is φ = 188928000.

The previous prime is 827231983. The next prime is 827232011. The reversal of 827232000 is 232728.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671385 + ... + 672615.

Almost surely, 2^827232000 is an apocalyptic number.

827232000 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 827232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571361792).

827232000 is an abundant number, since it is smaller than the sum of its proper divisors (2315491584).

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

827232000 is a wasteful number, since it uses less digits than its factorization.

827232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 827232000 is about 28761.6411214659. The cubic root of 827232000 is about 938.7337711726.

Adding to 827232000 its reverse (232728), we get a palindrome (827464728).

The spelling of 827232000 in words is "eight hundred twenty-seven million, two hundred thirty-two thousand".