769396320 has 576 divisors, whose sum is σ = 3407878656. Its totient is φ = 159252480.

The previous prime is 769396289. The next prime is 769396343. The reversal of 769396320 is 23693967.

769396320 is a `hidden beast` number, since 7 + 6 + 9 + 3 + 9 + 632 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993632 + ... + 2993888.

It is an arithmetic number, because the mean of its divisors is an integer number (5916456).

Almost surely, 2^769396320 is an apocalyptic number.

769396320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703939328).

769396320 is an abundant number, since it is smaller than the sum of its proper divisors (2638482336).

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

769396320 is a wasteful number, since it uses less digits than its factorization.

769396320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 769396320 is about 27737.9941596360. The cubic root of 769396320 is about 916.3260536535.

The spelling of 769396320 in words is "seven hundred sixty-nine million, three hundred ninety-six thousand, three hundred twenty".