1780728240 has 160 divisors (see below), whose sum is σ = 5901050880. Its totient is φ = 442642432.

The previous prime is 1780728239. The next prime is 1780728247. The reversal of 1780728240 is 428270871.

It is not an unprimeable number, because it can be changed into a prime (1780728247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434521 + ... + 438599.

It is an arithmetic number, because the mean of its divisors is an integer number (36881568).

Almost surely, 2^1780728240 is an apocalyptic number.

1780728240 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 1780728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950525440).

1780728240 is an abundant number, since it is smaller than the sum of its proper divisors (4120322640).

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

1780728240 is a wasteful number, since it uses less digits than its factorization.

1780728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 1780728240 is about 42198.6758086080. The cubic root of 1780728240 is about 1212.0835263591.

The spelling of 1780728240 in words is "one billion, seven hundred eighty million, seven hundred twenty-eight thousand, two hundred forty".