761155120 has 160 divisors (see below), whose sum is σ = 2011496256. Its totient is φ = 265420800.

The previous prime is 761155103. The next prime is 761155147. The reversal of 761155120 is 21551167.

761155120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3158200 + ... + 3158440.

Almost surely, 2^761155120 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 761155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005748128).

761155120 is an abundant number, since it is smaller than the sum of its proper divisors (1250341136).

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

761155120 is a wasteful number, since it uses less digits than its factorization.

761155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 761155120 is about 27589.0398528111. The cubic root of 761155120 is about 913.0426351512.

The spelling of 761155120 in words is "seven hundred sixty-one million, one hundred fifty-five thousand, one hundred twenty".