827272800 has 216 divisors, whose sum is σ = 2952232920. Its totient is φ = 217958400.

The previous prime is 827272783. The next prime is 827272837. The reversal of 827272800 is 8272728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 640155 + ... + 641445.

It is an arithmetic number, because the mean of its divisors is an integer number (13667745).

Almost surely, 2^827272800 is an apocalyptic number.

827272800 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 827272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476116460).

827272800 is an abundant number, since it is smaller than the sum of its proper divisors (2124960120).

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

827272800 is a wasteful number, since it uses less digits than its factorization.

827272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 827272800 is about 28762.3503907452. The cubic root of 827272800 is about 938.7492040492.

827272800 divided by its reverse (8272728) gives a square (100 = 10²).

The spelling of 827272800 in words is "eight hundred twenty-seven million, two hundred seventy-two thousand, eight hundred".