827848800 has 216 divisors, whose sum is σ = 3014182080. Its totient is φ = 213580800.

The previous prime is 827848783. The next prime is 827848807. The reversal of 827848800 is 8848728.

827848800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×827848800² = 1370667271322880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827848807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221346 + ... + 225054.

Almost surely, 2^827848800 is an apocalyptic number.

827848800 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 827848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507091040).

827848800 is an abundant number, since it is smaller than the sum of its proper divisors (2186333280).

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

827848800 is a wasteful number, since it uses less digits than its factorization.

827848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 827848800 is about 28772.3617383071. The cubic root of 827848800 is about 938.9670258268.

The spelling of 827848800 in words is "eight hundred twenty-seven million, eight hundred forty-eight thousand, eight hundred".