77486615440 has 320 divisors, whose sum is σ = 211666452480. Its totient is φ = 26143856640.

The previous prime is 77486615431. The next prime is 77486615443. The reversal of 77486615440 is 4451668477.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (77486615443) 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 63 ways as a sum of consecutive naturals, for example, 61545531 + ... + 61546789.

It is an arithmetic number, because the mean of its divisors is an integer number (661457664).

Almost surely, 2^77486615440 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 77486615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105833226240).

77486615440 is an abundant number, since it is smaller than the sum of its proper divisors (134179837040).

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

77486615440 is a wasteful number, since it uses less digits than its factorization.

77486615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 77486615440 in words is "seventy-seven billion, four hundred eighty-six million, six hundred fifteen thousand, four hundred forty".