763380 has 36 divisors (see below), whose sum is σ = 2316132. Its totient is φ = 203520.

The previous prime is 763369. The next prime is 763381. The reversal of 763380 is 83367.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 191844 = 756^2 + 438^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (64337).

2⁷⁶³³⁸⁰ is an apocalyptic number.

It is an amenable number.

763380 is an abundant number, since it is smaller than the sum of its proper divisors (1552752).

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

763380 is a wasteful number, since it uses less digits than its factorization.

763380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 763380 is about 873.7162010630. The cubic root of 763380 is about 91.3931387067.

The spelling of 763380 in words is "seven hundred sixty-three thousand, three hundred eighty".