7578056976 has 240 divisors, whose sum is σ = 24338799360. Its totient is φ = 2019790080.

The previous prime is 7578056947. The next prime is 7578056977. The reversal of 7578056976 is 6796508757.

It is not an unprimeable number, because it can be changed into a prime (7578056977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2992831 + ... + 2995361.

It is an arithmetic number, because the mean of its divisors is an integer number (101411664).

Almost surely, 2^7578056976 is an apocalyptic number.

7578056976 is a gapful number since it is divisible by the number (76) 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 7578056976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169399680).

7578056976 is an abundant number, since it is smaller than the sum of its proper divisors (16760742384).

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

7578056976 is a wasteful number, since it uses less digits than its factorization.

7578056976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 60.

The square root of 7578056976 is about 87052.0360244377. The cubic root of 7578056976 is about 1964.2011247995.

The spelling of 7578056976 in words is "seven billion, five hundred seventy-eight million, fifty-six thousand, nine hundred seventy-six".