765270720 has 224 divisors, whose sum is σ = 2817815040. Its totient is φ = 195148800.

The previous prime is 765270689. The next prime is 765270757. The reversal of 765270720 is 27072567.

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

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, 196795 + ... + 200645.

Almost surely, 2^765270720 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 765270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408907520).

765270720 is an abundant number, since it is smaller than the sum of its proper divisors (2052544320).

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

765270720 is a wasteful number, since it uses less digits than its factorization.

765270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 765270720 is about 27663.5268901129. The cubic root of 765270720 is about 914.6852989241.

The spelling of 765270720 in words is "seven hundred sixty-five million, two hundred seventy thousand, seven hundred twenty".