761311080 has 96 divisors (see below), whose sum is σ = 2521008360. Its totient is φ = 199180800.

The previous prime is 761311069. The next prime is 761311129. The reversal of 761311080 is 80113167.

761311080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 490445316 + 270865764 = 22146^2 + 16458^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871 + ... + 39030.

Almost surely, 2^761311080 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 761311080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260504180).

761311080 is an abundant number, since it is smaller than the sum of its proper divisors (1759697280).

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

761311080 is a wasteful number, since it uses less digits than its factorization.

761311080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39971 (or 39964 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 761311080 is about 27591.8661927750. The cubic root of 761311080 is about 913.1049914309.

The spelling of 761311080 in words is "seven hundred sixty-one million, three hundred eleven thousand, eighty".