1792766880 has 144 divisors (see below), whose sum is σ = 6128839080. Its totient is φ = 477210624.

The previous prime is 1792766839. The next prime is 1792766887. The reversal of 1792766880 is 886672971.

It can be written as a sum of positive squares in 4 ways, for example, as 1382947344 + 409819536 = 37188^2 + 20244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1792766887) 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 23 ways as a sum of consecutive naturals, for example, 1458106 + ... + 1459334.

Almost surely, 2^1792766880 is an apocalyptic number.

1792766880 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 1792766880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064419540).

1792766880 is an abundant number, since it is smaller than the sum of its proper divisors (4336072200).

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

1792766880 is a wasteful number, since it uses less digits than its factorization.

1792766880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 1792766880 is about 42341.0779267604. The cubic root of 1792766880 is about 1214.8088303606.

The spelling of 1792766880 in words is "one billion, seven hundred ninety-two million, seven hundred sixty-six thousand, eight hundred eighty".