769765248 has 256 divisors, whose sum is σ = 2655590400. Its totient is φ = 214935552.

The previous prime is 769765223. The next prime is 769765267. The reversal of 769765248 is 842567967.

769765248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 769765194 and 769765203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136686 + ... + 1137362.

It is an arithmetic number, because the mean of its divisors is an integer number (10373400).

Almost surely, 2^769765248 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 769765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327795200).

769765248 is an abundant number, since it is smaller than the sum of its proper divisors (1885825152).

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

769765248 is a wasteful number, since it uses less digits than its factorization.

769765248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 736 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 769765248 is about 27744.6435911511. The cubic root of 769765248 is about 916.4724906763.

The spelling of 769765248 in words is "seven hundred sixty-nine million, seven hundred sixty-five thousand, two hundred forty-eight".