827075040 has 288 divisors, whose sum is σ = 2954786688. Its totient is φ = 192844800.

The previous prime is 827075033. The next prime is 827075069. The reversal of 827075040 is 40570728.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 827074992 and 827075010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5073999 + ... + 5074161.

It is an arithmetic number, because the mean of its divisors is an integer number (10259676).

Almost surely, 2^827075040 is an apocalyptic number.

827075040 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 827075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477393344).

827075040 is an abundant number, since it is smaller than the sum of its proper divisors (2127711648).

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

827075040 is a wasteful number, since it uses less digits than its factorization.

827075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 827075040 is about 28758.9123577370. The cubic root of 827075040 is about 938.6743952568.

The spelling of 827075040 in words is "eight hundred twenty-seven million, seventy-five thousand, forty".