763914321 has 45 divisors (see below), whose sum is σ = 1187132331. Its totient is φ = 489541968.

The previous prime is 763914299. The next prime is 763914331. The reversal of 763914321 is 123419367.

The square root of 763914321 is 27639.

It is a perfect power (a square), and thus also a powerful number.

763914321 is a `hidden beast` number, since 7 + 639 + 14 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 683561025 + 80353296 = 26145^2 + 8964^2 .

It is not a de Polignac number, because 763914321 - 2⁵ = 763914289 is a prime.

Its product of digits (27216) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (763914331) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9203746 + ... + 9203828.

Almost surely, 2^763914321 is an apocalyptic number.

763914321 is the 27639-th square number.

763914321 is the 13820-th centered octagonal number.

It is an amenable number.

763914321 is a deficient number, since it is larger than the sum of its proper divisors (423218010).

763914321 is an frugal number, since it uses more digits than its factorization.

763914321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 123 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The cubic root of 763914321 is about 914.1445700354.

Multiplying 763914321 by its sum of digits (36), we get a square (27500915556 = 165834²).

The spelling of 763914321 in words is "seven hundred sixty-three million, nine hundred fourteen thousand, three hundred twenty-one".