1780787040 has 96 divisors (see below), whose sum is σ = 5619722976. Its totient is φ = 474009600.

The previous prime is 1780787011. The next prime is 1780787051. The reversal of 1780787040 is 407870871.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1780786983 and 1780787001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 285394 + ... + 291566.

It is an arithmetic number, because the mean of its divisors is an integer number (58538781).

Almost surely, 2^1780787040 is an apocalyptic number.

1780787040 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 1780787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809861488).

1780787040 is an abundant number, since it is smaller than the sum of its proper divisors (3838935936).

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

1780787040 is a wasteful number, since it uses less digits than its factorization.

1780787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 1780787040 is about 42199.3725071831. The cubic root of 1780787040 is about 1212.0968672919.

The spelling of 1780787040 in words is "one billion, seven hundred eighty million, seven hundred eighty-seven thousand, forty".