763 has 4 divisors (see below), whose sum is σ = 880. Its totient is φ = 648.

The previous prime is 761. The next prime is 769. The reversal of 763 is 367.

Subtracting from 763 its sum of digits (16), we obtain a palindrome (747).

It can be divided in two parts, 7 and 63, that multiplied together give a square (441 = 21^{2}).

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a 4-Lehmer number, since φ(763) divides (763-1)^{4}.

It is a cyclic number.

It is not a de Polignac number, because 763 - 2^{1} = 761 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

763 is a modest number, since divided by 63 gives 7 as remainder.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 6 and base 10.

It is a zygodrome in base 6.

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, 48 + ... + 61.

It is an arithmetic number, because the mean of its divisors is an integer number (220).

763 is a deficient number, since it is larger than the sum of its proper divisors (117).

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

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

The sum of its prime factors is 116.

The product of its digits is 126, while the sum is 16.

The square root of 763 is about 27.6224546339. The cubic root of 763 is about 9.1377971443.

The spelling of 763 in words is "seven hundred sixty-three", and thus it is an aban number and an oban number.

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