77802510540768 has 384 divisors, whose sum is σ = 234120532101120. Its totient is φ = 22411155701760.

The previous prime is 77802510540763. The next prime is 77802510540787. The reversal of 77802510540768 is 86704501520877.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77802510540763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5687726953 + ... + 5687740631.

It is an arithmetic number, because the mean of its divisors is an integer number (609688885680).

Almost surely, 2^{77802510540768} is an apocalyptic number.

77802510540768 is a gapful number since it is divisible by the number (78) 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 77802510540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117060266050560).

77802510540768 is an abundant number, since it is smaller than the sum of its proper divisors (156318021560352).

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

77802510540768 is a wasteful number, since it uses less digits than its factorization.

77802510540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15130 (or 15122 counting only the distinct ones).

The product of its (nonzero) digits is 26342400, while the sum is 60.

The spelling of 77802510540768 in words is "seventy-seven trillion, eight hundred two billion, five hundred ten million, five hundred forty thousand, seven hundred sixty-eight".