769280490 has 240 divisors, whose sum is σ = 2335931136. Its totient is φ = 181431360.

The previous prime is 769280483. The next prime is 769280503. The reversal of 769280490 is 94082967.

It is a happy number.

769280490 is a `hidden beast` number, since 76 + 92 + 8 + 0 + 490 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4606387 + ... + 4606553.

Almost surely, 2^769280490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769280490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167965568).

769280490 is an abundant number, since it is smaller than the sum of its proper divisors (1566650646).

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

769280490 is a wasteful number, since it uses less digits than its factorization.

769280490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 769280490 is about 27735.9061506921. The cubic root of 769280490 is about 916.2800680884.

The spelling of 769280490 in words is "seven hundred sixty-nine million, two hundred eighty thousand, four hundred ninety".