763264 has 32 divisors (see below), whose sum is σ = 1560600. Its totient is φ = 371712.

The previous prime is 763261. The next prime is 763267. The reversal of 763264 is 462367.

It is an interprime number because it is at equal distance from previous prime (763261) and next prime (763267).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×763264³ = 1333968553201631232, which contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763261) 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, 8532 + ... + 8620.

2⁷⁶³²⁶⁴ 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 763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780300).

763264 is an abundant number, since it is smaller than the sum of its proper divisors (797336).

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

763264 is an equidigital number, since it uses as much as digits as its factorization.

763264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 763264 is about 873.6498154295. The cubic root of 763264 is about 91.3885092338.

The spelling of 763264 in words is "seven hundred sixty-three thousand, two hundred sixty-four".