77552885760 has 448 divisors, whose sum is σ = 293478508800. Its totient is φ = 17109614592.

The previous prime is 77552885747. The next prime is 77552885819. The reversal of 77552885760 is 6758825577.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×77552885760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 77552885694 and 77552885703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24943086 + ... + 24946194.

Almost surely, 2^77552885760 is an apocalyptic number.

77552885760 is a gapful number since it is divisible by the number (70) 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 77552885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146739254400).

77552885760 is an abundant number, since it is smaller than the sum of its proper divisors (215925623040).

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

77552885760 is a wasteful number, since it uses less digits than its factorization.

77552885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 32928000, while the sum is 60.

The spelling of 77552885760 in words is "seventy-seven billion, five hundred fifty-two million, eight hundred eighty-five thousand, seven hundred sixty".