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760 = 23519
BaseRepresentation
bin1011111000
31001011
423320
511020
63304
72134
oct1370
91034
10760
11631
12534
13466
143c4
1535a
hex2f8

760 has 16 divisors (see below), whose sum is σ = 1800. Its totient is φ = 288.

The previous prime is 757. The next prime is 761. The reversal of 760 is 67.

Subtracting from 760 its sum of digits (13), we obtain a palindrome (747).

760 = T7 + T8 + ... + T16.

760 is an idoneal number.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 10 and base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 49.

760 is the 23-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900).

760 is an abundant number, since it is smaller than the sum of its proper divisors (1040).

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

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

760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 760 is about 27.5680975042. The cubic root of 760 is about 9.1258052708.

The spelling of 760 in words is "seven hundred sixty", and thus it is an aban number and an oban number.

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760