769205248 has 88 divisors (see below), whose sum is σ = 1768608000. Its totient is φ = 327548928.

The previous prime is 769205233. The next prime is 769205249. The reversal of 769205248 is 842502967.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (769205249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712928 + ... + 1713376.

Almost surely, 2^769205248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884304000).

769205248 is an abundant number, since it is smaller than the sum of its proper divisors (999402752).

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

769205248 is a wasteful number, since it uses less digits than its factorization.

769205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 769205248 is about 27734.5497169145. The cubic root of 769205248 is about 916.2501938559.

The spelling of 769205248 in words is "seven hundred sixty-nine million, two hundred five thousand, two hundred forty-eight".