769248276624 has 135 divisors (see below), whose sum is σ = 2236340354547. Its totient is φ = 256321368864.

The previous prime is 769248276551. The next prime is 769248276637. The reversal of 769248276624 is 426672842967.

The square root of 769248276624 is 877068.

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

769248276624 is a `hidden beast` number, since 7 + 6 + 92 + 482 + 7 + 6 + 62 + 4 = 666.

It is a super-2 number, since 2×769248276624² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284168679 + ... + 284171385.

Almost surely, 2^769248276624 is an apocalyptic number.

769248276624 is the 877068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769248276624

769248276624 is an abundant number, since it is smaller than the sum of its proper divisors (1467092077923).

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

769248276624 is an frugal number, since it uses more digits than its factorization.

769248276624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 2712 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 769248276624 in words is "seven hundred sixty-nine billion, two hundred forty-eight million, two hundred seventy-six thousand, six hundred twenty-four".