76315300320 has 576 divisors, whose sum is σ = 288254453760. Its totient is φ = 16623108096.

The previous prime is 76315300309. The next prime is 76315300381. The reversal of 76315300320 is 2300351367.

It is a super-3 number, since 3×76315300320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319310761 + ... + 319310999.

It is an arithmetic number, because the mean of its divisors is an integer number (500441760).

Almost surely, 2^76315300320 is an apocalyptic number.

76315300320 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 76315300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144127226880).

76315300320 is an abundant number, since it is smaller than the sum of its proper divisors (211939153440).

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

76315300320 is a wasteful number, since it uses less digits than its factorization.

76315300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

Adding to 76315300320 its reverse (2300351367), we get a palindrome (78615651687).

The spelling of 76315300320 in words is "seventy-six billion, three hundred fifteen million, three hundred thousand, three hundred twenty".