765330440 has 64 divisors (see below), whose sum is σ = 1976607360. Its totient is φ = 261250560.

The previous prime is 765330437. The next prime is 765330443. The reversal of 765330440 is 44033567.

It is an interprime number because it is at equal distance from previous prime (765330437) and next prime (765330443).

It is a junction number, because it is equal to n+sod(n) for n = 765330397 and 765330406.

It is not an unprimeable number, because it can be changed into a prime (765330443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59375 + ... + 71105.

It is an arithmetic number, because the mean of its divisors is an integer number (30884490).

Almost surely, 2^765330440 is an apocalyptic number.

765330440 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 765330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988303680).

765330440 is an abundant number, since it is smaller than the sum of its proper divisors (1211276920).

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

765330440 is a wasteful number, since it uses less digits than its factorization.

765330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 765330440 is about 27664.6062686603. The cubic root of 765330440 is about 914.7090916307.

The spelling of 765330440 in words is "seven hundred sixty-five million, three hundred thirty thousand, four hundred forty".