761541120 has 120 divisors (see below), whose sum is σ = 2637510876. Its totient is φ = 203071488.

The previous prime is 761541097. The next prime is 761541173. The reversal of 761541120 is 21145167.

It is a happy number.

761541120 is a `hidden beast` number, since 7 + 615 + 41 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 751198464 + 10342656 = 27408^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6514 + ... + 39566.

Almost surely, 2^761541120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318755438).

761541120 is an abundant number, since it is smaller than the sum of its proper divisors (1875969756).

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

761541120 is a wasteful number, since it uses less digits than its factorization.

761541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33082 (or 33063 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 761541120 is about 27596.0344977317. The cubic root of 761541120 is about 913.1969510012.

Adding to 761541120 its reverse (21145167), we get a palindrome (782686287).

The spelling of 761541120 in words is "seven hundred sixty-one million, five hundred forty-one thousand, one hundred twenty".