77751603160 has 512 divisors, whose sum is σ = 238360320000. Its totient is φ = 22096281600.

The previous prime is 77751603133. The next prime is 77751603169. The reversal of 77751603160 is 6130615777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77751603169) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 322620640 + ... + 322620880.

It is an arithmetic number, because the mean of its divisors is an integer number (465547500).

Almost surely, 2^77751603160 is an apocalyptic number.

77751603160 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 77751603160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160000).

77751603160 is an abundant number, since it is smaller than the sum of its proper divisors (160608716840).

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

77751603160 is a wasteful number, since it uses less digits than its factorization.

77751603160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The spelling of 77751603160 in words is "seventy-seven billion, seven hundred fifty-one million, six hundred three thousand, one hundred sixty".