1780193140 has 36 divisors (see below), whose sum is σ = 4109162148. Its totient is φ = 647342080.

The previous prime is 1780193119. The next prime is 1780193141. The reversal of 1780193140 is 413910871.

It can be written as a sum of positive squares in 2 ways, for example, as 336649104 + 1443544036 = 18348^2 + 37994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1780193096 and 1780193105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1780193141) 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 11 ways as a sum of consecutive naturals, for example, 365389 + ... + 370228.

It is an arithmetic number, because the mean of its divisors is an integer number (114143393).

Almost surely, 2^1780193140 is an apocalyptic number.

1780193140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1780193140 is an abundant number, since it is smaller than the sum of its proper divisors (2328969008).

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

1780193140 is a wasteful number, since it uses less digits than its factorization.

1780193140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735648 (or 735635 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 1780193140 is about 42192.3350858897. The cubic root of 1780193140 is about 1211.9621058345.

The spelling of 1780193140 in words is "one billion, seven hundred eighty million, one hundred ninety-three thousand, one hundred forty".