1705077540 has 144 divisors (see below), whose sum is σ = 5432743680. Its totient is φ = 448830720.

The previous prime is 1705077503. The next prime is 1705077559. The reversal of 1705077540 is 457705071.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1705077495 and 1705077504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381720 + ... + 386160.

Almost surely, 2^1705077540 is an apocalyptic number.

1705077540 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 1705077540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716371840).

1705077540 is an abundant number, since it is smaller than the sum of its proper divisors (3727666140).

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

1705077540 is a wasteful number, since it uses less digits than its factorization.

1705077540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 1705077540 is about 41292.5845643016. The cubic root of 1705077540 is about 1194.6702380776.

The spelling of 1705077540 in words is "one billion, seven hundred five million, seventy-seven thousand, five hundred forty".