1761162720 has 96 divisors (see below), whose sum is σ = 5638701600. Its totient is φ = 461936640.

The previous prime is 1761162713. The next prime is 1761162751. The reversal of 1761162720 is 272611671.

1761162720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent 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, 795 + ... + 59354.

It is an arithmetic number, because the mean of its divisors is an integer number (58736475).

Almost surely, 2^1761162720 is an apocalyptic number.

1761162720 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 1761162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819350800).

1761162720 is an abundant number, since it is smaller than the sum of its proper divisors (3877538880).

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

1761162720 is a wasteful number, since it uses less digits than its factorization.

1761162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60228 (or 60220 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1761162720 is about 41966.2092641211. The cubic root of 1761162720 is about 1207.6279646115.

The spelling of 1761162720 in words is "one billion, seven hundred sixty-one million, one hundred sixty-two thousand, seven hundred twenty".