77448038976 has 560 divisors, whose sum is σ = 289931734080. Its totient is φ = 20104519680.

The previous prime is 77448038971. The next prime is 77448038977. The reversal of 77448038976 is 67983084477.

77448038976 is a `hidden beast` number, since 7 + 7 + 4 + 480 + 3 + 89 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (77448038971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45637360 + ... + 45639056.

Almost surely, 2^77448038976 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 77448038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144965867040).

77448038976 is an abundant number, since it is smaller than the sum of its proper divisors (212483695104).

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

77448038976 is a wasteful number, since it uses less digits than its factorization.

77448038976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 77448038976 in words is "seventy-seven billion, four hundred forty-eight million, thirty-eight thousand, nine hundred seventy-six".