77503869031680 has 2880 divisors, whose sum is σ = 360252217543680. Its totient is φ = 15461886984192.

The previous prime is 77503869031639. The next prime is 77503869031733. The reversal of 77503869031680 is 8613096830577.

77503869031680 is a `hidden beast` number, since 7 + 7 + 5 + 0 + 386 + 90 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×77503869031680² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19313197354 + ... + 19313201366.

It is an arithmetic number, because the mean of its divisors is an integer number (125087575536).

Almost surely, 2^{77503869031680} is an apocalyptic number.

77503869031680 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 77503869031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180126108771840).

77503869031680 is an abundant number, since it is smaller than the sum of its proper divisors (282748348512000).

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

77503869031680 is a wasteful number, since it uses less digits than its factorization.

77503869031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 77503869031680 in words is "seventy-seven trillion, five hundred three billion, eight hundred sixty-nine million, thirty-one thousand, six hundred eighty".