77748387840 has 300 divisors, whose sum is σ = 278757650556. Its totient is φ = 20731133952.

The previous prime is 77748387737. The next prime is 77748387853. The reversal of 77748387840 is 4878384777.

77748387840 is a `hidden beast` number, since 7 + 77 + 483 + 8 + 7 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9364045824 + 68384342016 = 96768^2 + 261504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6629662 + ... + 6641378.

Almost surely, 2^77748387840 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 77748387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139378825278).

77748387840 is an abundant number, since it is smaller than the sum of its proper divisors (201009262716).

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

77748387840 is an equidigital number, since it uses as much as digits as its factorization.

77748387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 59006976, while the sum is 63.

The spelling of 77748387840 in words is "seventy-seven billion, seven hundred forty-eight million, three hundred eighty-seven thousand, eight hundred forty".