827774640 has 720 divisors, whose sum is σ = 3704762880. Its totient is φ = 169827840.

The previous prime is 827774627. The next prime is 827774663. The reversal of 827774640 is 46477728.

827774640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10478121 + ... + 10478199.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504).

Almost surely, 2^827774640 is an apocalyptic number.

827774640 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 827774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

827774640 is an abundant number, since it is smaller than the sum of its proper divisors (2876988240).

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

827774640 is a wasteful number, since it uses less digits than its factorization.

827774640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 827774640 is about 28771.0729726926. The cubic root of 827774640 is about 938.9389869409.

The spelling of 827774640 in words is "eight hundred twenty-seven million, seven hundred seventy-four thousand, six hundred forty".