827393180880 has 960 divisors, whose sum is σ = 3304974182400. Its totient is φ = 169928478720.

The previous prime is 827393180807. The next prime is 827393180891. The reversal of 827393180880 is 88081393728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 827393180880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 673224106 + ... + 673225334.

It is an arithmetic number, because the mean of its divisors is an integer number (3442681440).

Almost surely, 2^827393180880 is an apocalyptic number.

827393180880 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 827393180880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652487091200).

827393180880 is an abundant number, since it is smaller than the sum of its proper divisors (2477581001520).

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

827393180880 is a wasteful number, since it uses less digits than its factorization.

827393180880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 827393180880 in words is "eight hundred twenty-seven billion, three hundred ninety-three million, one hundred eighty thousand, eight hundred eighty".