766902249 has 45 divisors (see below), whose sum is σ = 1223733621. Its totient is φ = 478535040.

The previous prime is 766902223. The next prime is 766902251. The reversal of 766902249 is 942209667.

The square root of 766902249 is 27693.

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

It can be written as a sum of positive squares in 4 ways, for example, as 108056025 + 658846224 = 10395^2 + 25668^2 .

It is not a de Polignac number, because 766902249 - 2⁷ = 766902121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (766902289) 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, 4236939 + ... + 4237119.

Almost surely, 2^766902249 is an apocalyptic number.

766902249 is the 27693-rd square number.

766902249 is the 13847-th centered octagonal number.

It is an amenable number.

766902249 is a deficient number, since it is larger than the sum of its proper divisors (456831372).

766902249 is an equidigital number, since it uses as much as digits as its factorization.

766902249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 766902249 is about 915.3348626544.

The spelling of 766902249 in words is "seven hundred sixty-six million, nine hundred two thousand, two hundred forty-nine".