761360 has 40 divisors (see below), whose sum is σ = 1833216. Its totient is φ = 293760.

The previous prime is 761357. The next prime is 761363. The reversal of 761360 is 63167.

It is an interprime number because it is at equal distance from previous prime (761357) and next prime (761363).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2327 + ... + 2633.

2⁷⁶¹³⁶⁰ 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 761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916608).

761360 is an abundant number, since it is smaller than the sum of its proper divisors (1071856).

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

761360 is a wasteful number, since it uses less digits than its factorization.

761360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 761360 is about 872.5594535618. The cubic root of 761360 is about 91.3124548981.

The spelling of 761360 in words is "seven hundred sixty-one thousand, three hundred sixty".