763266 has 32 divisors (see below), whose sum is σ = 1848960. Its totient is φ = 205056.

The previous prime is 763261. The next prime is 763267. The reversal of 763266 is 662367.

It is a super-3 number, since 3×763266³ = 1333979039523915288, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (763261) by changing a digit.

763266 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180 + ... + 1248.

It is an arithmetic number, because the mean of its divisors is an integer number (57780).

2⁷⁶³²⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924480).

763266 is an abundant number, since it is smaller than the sum of its proper divisors (1085694).

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

763266 is a wasteful number, since it uses less digits than its factorization.

763266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its digits is 9072, while the sum is 30.

The square root of 763266 is about 873.6509600521. The cubic root of 763266 is about 91.3885890563.

The spelling of 763266 in words is "seven hundred sixty-three thousand, two hundred sixty-six".