765238320 has 640 divisors, whose sum is σ = 3394068480. Its totient is φ = 153861120.

The previous prime is 765238291. The next prime is 765238321. The reversal of 765238320 is 23832567.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (765238321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7151707 + ... + 7151813.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2^765238320 is an apocalyptic number.

765238320 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 765238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697034240).

765238320 is an abundant number, since it is smaller than the sum of its proper divisors (2628830160).

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

765238320 is a wasteful number, since it uses less digits than its factorization.

765238320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 765238320 is about 27662.9412752874. The cubic root of 765238320 is about 914.6723901059.

The spelling of 765238320 in words is "seven hundred sixty-five million, two hundred thirty-eight thousand, three hundred twenty".