765377280 has 324 divisors, whose sum is σ = 2777305440. Its totient is φ = 194568192.

The previous prime is 765377257. The next prime is 765377287. The reversal of 765377280 is 82773567.

765377280 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765377287) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9688281 + ... + 9688359.

Almost surely, 2^765377280 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 765377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388652720).

765377280 is an abundant number, since it is smaller than the sum of its proper divisors (2011928160).

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

765377280 is a wasteful number, since it uses less digits than its factorization.

765377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 765377280 is about 27665.4528247777. The cubic root of 765377280 is about 914.7277520235.

The spelling of 765377280 in words is "seven hundred sixty-five million, three hundred seventy-seven thousand, two hundred eighty".