765024480 has 384 divisors, whose sum is σ = 3096092160. Its totient is φ = 174366720.

The previous prime is 765024443. The next prime is 765024487. The reversal of 765024480 is 84420567.

765024480 is a `hidden beast` number, since 76 + 502 + 4 + 4 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765024487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807367 + ... + 808313.

It is an arithmetic number, because the mean of its divisors is an integer number (8062740).

Almost surely, 2^765024480 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 765024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548046080).

765024480 is an abundant number, since it is smaller than the sum of its proper divisors (2331067680).

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

765024480 is a wasteful number, since it uses less digits than its factorization.

765024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 765024480 is about 27659.0759064724. The cubic root of 765024480 is about 914.5871827656.

The spelling of 765024480 in words is "seven hundred sixty-five million, twenty-four thousand, four hundred eighty".