1788480 has 168 divisors, whose sum is σ = 6656832. Its totient is φ = 456192.

The previous prime is 1788473. The next prime is 1788487. The reversal of 1788480 is 848871.

1788480 is a `hidden beast` number, since 178 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1788473) and next prime (1788487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1788487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77749 + ... + 77771.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2^1788480 is an apocalyptic number.

1788480 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 1788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

1788480 is an abundant number, since it is smaller than the sum of its proper divisors (4868352).

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

1788480 is an equidigital number, since it uses as much as digits as its factorization.

1788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1788480 is about 1337.3406447125. The cubic root of 1788480 is about 121.3839770339.

The spelling of 1788480 in words is "one million, seven hundred eighty-eight thousand, four hundred eighty".