765309930 has 384 divisors, whose sum is σ = 2553016320. Its totient is φ = 144668160.

The previous prime is 765309917. The next prime is 765309947. The reversal of 765309930 is 39903567.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14439784 + ... + 14439836.

It is an arithmetic number, because the mean of its divisors is an integer number (6648480).

Almost surely, 2^765309930 is an apocalyptic number.

765309930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 765309930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276508160).

765309930 is an abundant number, since it is smaller than the sum of its proper divisors (1787706390).

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

765309930 is a wasteful number, since it uses less digits than its factorization.

765309930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 765309930 is about 27664.2355759200. The cubic root of 765309930 is about 914.7009204975.

The spelling of 765309930 in words is "seven hundred sixty-five million, three hundred nine thousand, nine hundred thirty".