1740500080 has 80 divisors (see below), whose sum is σ = 4421368800. Its totient is φ = 631930880.

The previous prime is 1740500063. The next prime is 1740500089. The reversal of 1740500080 is 800050471.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1740500089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816456 + ... + 818584.

It is an arithmetic number, because the mean of its divisors is an integer number (55267110).

Almost surely, 2^1740500080 is an apocalyptic number.

1740500080 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 1740500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210684400).

1740500080 is an abundant number, since it is smaller than the sum of its proper divisors (2680868720).

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

1740500080 is a wasteful number, since it uses less digits than its factorization.

1740500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1740500080 is about 41719.3010487951. The cubic root of 1740500080 is about 1202.8865878117.

The spelling of 1740500080 in words is "one billion, seven hundred forty million, five hundred thousand, eighty".