76715792448 has 112 divisors (see below), whose sum is σ = 205642342080. Its totient is φ = 25236834304.

The previous prime is 76715792443. The next prime is 76715792507. The reversal of 76715792448 is 84429751767.

It is a super-2 number, since 2×76715792448² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76715792391 and 76715792400.

It is not an unprimeable number, because it can be changed into a prime (76715792443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19583386 + ... + 19587302.

It is an arithmetic number, because the mean of its divisors is an integer number (1836092340).

Almost surely, 2^76715792448 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 76715792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102821171040).

76715792448 is an abundant number, since it is smaller than the sum of its proper divisors (128926549632).

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

76715792448 is a wasteful number, since it uses less digits than its factorization.

76715792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5234 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 60.

The spelling of 76715792448 in words is "seventy-six billion, seven hundred fifteen million, seven hundred ninety-two thousand, four hundred forty-eight".