77745568754880 has 1568 divisors, whose sum is σ = 305042835988800. Its totient is φ = 18747846918144.

The previous prime is 77745568754773. The next prime is 77745568754897. The reversal of 77745568754880 is 8845786554777.

77745568754880 is a `hidden beast` number, since 7 + 7 + 7 + 4 + 5 + 5 + 68 + 7 + 548 + 8 + 0 = 666.

It is a super-2 number, since 2×77745568754880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 77745568754880.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 69602120082 + ... + 69602121198.

Almost surely, 2^{77745568754880} 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 77745568754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152521417994400).

77745568754880 is an abundant number, since it is smaller than the sum of its proper divisors (227297267233920).

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

77745568754880 is a wasteful number, since it uses less digits than its factorization.

77745568754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 14751744000, while the sum is 81.

The spelling of 77745568754880 in words is "seventy-seven trillion, seven hundred forty-five billion, five hundred sixty-eight million, seven hundred fifty-four thousand, eight hundred eighty".