1791126480 has 160 divisors (see below), whose sum is σ = 6523332480. Its totient is φ = 400803840.

The previous prime is 1791126427. The next prime is 1791126481. The reversal of 1791126480 is 846211971.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1791126481) 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, 8226 + ... + 60414.

It is an arithmetic number, because the mean of its divisors is an integer number (40770828).

Almost surely, 2^1791126480 is an apocalyptic number.

1791126480 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 1791126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261666240).

1791126480 is an abundant number, since it is smaller than the sum of its proper divisors (4732206000).

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

1791126480 is a wasteful number, since it uses less digits than its factorization.

1791126480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52229 (or 52223 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1791126480 is about 42321.7022341966. The cubic root of 1791126480 is about 1214.4381964652.

It can be divided in two parts, 1791 and 126480, that added together give a triangular number (128271 = T₅₀₆).

The spelling of 1791126480 in words is "one billion, seven hundred ninety-one million, one hundred twenty-six thousand, four hundred eighty".