827897760 has 240 divisors, whose sum is σ = 2950649856. Its totient is φ = 218598912.

The previous prime is 827897753. The next prime is 827897821. The reversal of 827897760 is 67798728.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 827897697 and 827897706.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1645669 + ... + 1646171.

Almost surely, 2^827897760 is an apocalyptic number.

827897760 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 827897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475324928).

827897760 is an abundant number, since it is smaller than the sum of its proper divisors (2122752096).

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

827897760 is a wasteful number, since it uses less digits than its factorization.

827897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The square root of 827897760 is about 28773.2125422241. The cubic root of 827897760 is about 938.9855360183.

The spelling of 827897760 in words is "eight hundred twenty-seven million, eight hundred ninety-seven thousand, seven hundred sixty".