765230040 has 192 divisors, whose sum is σ = 2587852800. Its totient is φ = 195897600.

The previous prime is 765230029. The next prime is 765230051. The reversal of 765230040 is 40032567.

It is a happy number.

765230040 is a `hidden beast` number, since 7 + 652 + 3 + 0 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (765230029) and next prime (765230051).

It is a junction number, because it is equal to n+sod(n) for n = 765229986 and 765230013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131381 + ... + 2131739.

It is an arithmetic number, because the mean of its divisors is an integer number (13478400).

Almost surely, 2^765230040 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 765230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293926400).

765230040 is an abundant number, since it is smaller than the sum of its proper divisors (1822622760).

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

765230040 is a wasteful number, since it uses less digits than its factorization.

765230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 765230040 is about 27662.7916161764. The cubic root of 765230040 is about 914.6690911272.

The spelling of 765230040 in words is "seven hundred sixty-five million, two hundred thirty thousand, forty".