761487168 has 112 divisors (see below), whose sum is σ = 2284089920. Its totient is φ = 221958144.

The previous prime is 761487161. The next prime is 761487169. The reversal of 761487168 is 861784167.

761487168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761487161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39396 + ... + 55452.

It is an arithmetic number, because the mean of its divisors is an integer number (20393660).

Almost surely, 2^761487168 is an apocalyptic number.

761487168 is a gapful number since it is divisible by the number (78) 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 761487168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142044960).

761487168 is an abundant number, since it is smaller than the sum of its proper divisors (1522602752).

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

761487168 is a wasteful number, since it uses less digits than its factorization.

761487168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16104 (or 16094 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 761487168 is about 27595.0569486638. The cubic root of 761487168 is about 913.1753850984.

The spelling of 761487168 in words is "seven hundred sixty-one million, four hundred eighty-seven thousand, one hundred sixty-eight".