1325827680 has 96 divisors (see below), whose sum is σ = 4244915808. Its totient is φ = 347750400.

The previous prime is 1325827661. The next prime is 1325827681. The reversal of 1325827680 is 867285231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325827681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6640 + ... + 51920.

It is an arithmetic number, because the mean of its divisors is an integer number (44217873).

Almost surely, 2^1325827680 is an apocalyptic number.

1325827680 is a gapful number since it is divisible by the number (10) 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 1325827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122457904).

1325827680 is an abundant number, since it is smaller than the sum of its proper divisors (2919088128).

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

1325827680 is a wasteful number, since it uses less digits than its factorization.

1325827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45360 (or 45352 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1325827680 is about 36411.9167306529. The cubic root of 1325827680 is about 1098.5732687464.

The spelling of 1325827680 in words is "one billion, three hundred twenty-five million, eight hundred twenty-seven thousand, six hundred eighty".