1779048768 has 224 divisors, whose sum is σ = 5530291200. Its totient is φ = 494309376.

The previous prime is 1779048767. The next prime is 1779048769. The reversal of 1779048768 is 8678409771.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1779048767) and next prime (1779048769).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1779048767) 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, 12798843 + ... + 12798981.

It is an arithmetic number, because the mean of its divisors is an integer number (24688800).

Almost surely, 2^1779048768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1779048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

1779048768 is an abundant number, since it is smaller than the sum of its proper divisors (3751242432).

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

1779048768 is a wasteful number, since it uses less digits than its factorization.

1779048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The square root of 1779048768 is about 42178.7715326087. The cubic root of 1779048768 is about 1211.7023525968.

The spelling of 1779048768 in words is "one billion, seven hundred seventy-nine million, forty-eight thousand, seven hundred sixty-eight".