761361588 has 72 divisors (see below), whose sum is σ = 2079657216. Its totient is φ = 233467200.

The previous prime is 761361553. The next prime is 761361599. The reversal of 761361588 is 885163167.

761361588 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 61 + 588 = 666.

761361588 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 142933 + ... + 148163.

It is an arithmetic number, because the mean of its divisors is an integer number (28884128).

Almost surely, 2^761361588 is an apocalyptic number.

761361588 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 761361588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039828608).

761361588 is an abundant number, since it is smaller than the sum of its proper divisors (1318295628).

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

761361588 is a wasteful number, since it uses less digits than its factorization.

761361588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5560 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 761361588 is about 27592.7814473278. The cubic root of 761361588 is about 913.1251838281.

The spelling of 761361588 in words is "seven hundred sixty-one million, three hundred sixty-one thousand, five hundred eighty-eight".