1788525480 has 256 divisors, whose sum is σ = 6589440000. Its totient is φ = 387120384.

The previous prime is 1788525463. The next prime is 1788525481. The reversal of 1788525480 is 845258871.

It is not an unprimeable number, because it can be changed into a prime (1788525481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 780897 + ... + 783183.

It is an arithmetic number, because the mean of its divisors is an integer number (25740000).

Almost surely, 2^1788525480 is an apocalyptic number.

1788525480 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 1788525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294720000).

1788525480 is an abundant number, since it is smaller than the sum of its proper divisors (4800914520).

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

1788525480 is a wasteful number, since it uses less digits than its factorization.

1788525480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The square root of 1788525480 is about 42290.9621550515. The cubic root of 1788525480 is about 1213.8500593305.

It can be divided in two parts, 17885 and 25480, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 1788525480 in words is "one billion, seven hundred eighty-eight million, five hundred twenty-five thousand, four hundred eighty".