769732320 has 192 divisors, whose sum is σ = 2798240256. Its totient is φ = 174213120.

The previous prime is 769732277. The next prime is 769732321. The reversal of 769732320 is 23237967.

769732320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769732321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358450 + ... + 360590.

It is an arithmetic number, because the mean of its divisors is an integer number (14574168).

Almost surely, 2^769732320 is an apocalyptic number.

769732320 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 769732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399120128).

769732320 is an abundant number, since it is smaller than the sum of its proper divisors (2028507936).

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

769732320 is a wasteful number, since it uses less digits than its factorization.

769732320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 769732320 is about 27744.0501729650. The cubic root of 769732320 is about 916.4594226071.

The spelling of 769732320 in words is "seven hundred sixty-nine million, seven hundred thirty-two thousand, three hundred twenty".