76509150744 has 128 divisors (see below), whose sum is σ = 209979060480. Its totient is φ = 23089344000.

The previous prime is 76509150719. The next prime is 76509150749. The reversal of 76509150744 is 44705190567.

It is a junction number, because it is equal to n+sod(n) for n = 76509150693 and 76509150702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76509150749) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3360439 + ... + 3383129.

It is an arithmetic number, because the mean of its divisors is an integer number (1640461410).

Almost surely, 2^76509150744 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 76509150744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104989530240).

76509150744 is an abundant number, since it is smaller than the sum of its proper divisors (133469909736).

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

76509150744 is a wasteful number, since it uses less digits than its factorization.

76509150744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22921 (or 22917 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 76509150744 in words is "seventy-six billion, five hundred nine million, one hundred fifty thousand, seven hundred forty-four".