1779813980 has 96 divisors (see below), whose sum is σ = 4760985600. Its totient is φ = 544084992.

The previous prime is 1779813953. The next prime is 1779813983. The reversal of 1779813980 is 893189771.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1779813983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25541 + ... + 64899.

It is an arithmetic number, because the mean of its divisors is an integer number (49593600).

Almost surely, 2^1779813980 is an apocalyptic number.

1779813980 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 1779813980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380492800).

1779813980 is an abundant number, since it is smaller than the sum of its proper divisors (2981171620).

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

1779813980 is a wasteful number, since it uses less digits than its factorization.

1779813980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39411 (or 39409 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 53.

The square root of 1779813980 is about 42187.8416134317. The cubic root of 1779813980 is about 1211.8760552126.

The spelling of 1779813980 in words is "one billion, seven hundred seventy-nine million, eight hundred thirteen thousand, nine hundred eighty".