1742478080 has 144 divisors (see below), whose sum is σ = 4815042624. Its totient is φ = 591790080.

The previous prime is 1742478061. The next prime is 1742478097. The reversal of 1742478080 is 808742471.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011620 + ... + 1013340.

It is an arithmetic number, because the mean of its divisors is an integer number (33437796).

Almost surely, 2^1742478080 is an apocalyptic number.

1742478080 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 1742478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407521312).

1742478080 is an abundant number, since it is smaller than the sum of its proper divisors (3072564544).

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

1742478080 is a wasteful number, since it uses less digits than its factorization.

1742478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 41.

The square root of 1742478080 is about 41743.0003713197. Note that the first 3 decimals coincide. The cubic root of 1742478080 is about 1203.3420907906.

The spelling of 1742478080 in words is "one billion, seven hundred forty-two million, four hundred seventy-eight thousand, eighty".