77501088707328 has 1080 divisors, whose sum is σ = 274385994220800. Its totient is φ = 21567553413120.

The previous prime is 77501088707309. The next prime is 77501088707347. The reversal of 77501088707328 is 82370788010577.

It is an interprime number because it is at equal distance from previous prime (77501088707309) and next prime (77501088707347).

It is a super-2 number, since 2×77501088707328² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7671091525 + ... + 7671101627.

It is an arithmetic number, because the mean of its divisors is an integer number (254061105760).

Almost surely, 2^{77501088707328} is an apocalyptic number.

77501088707328 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 77501088707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137192997110400).

77501088707328 is an abundant number, since it is smaller than the sum of its proper divisors (196884905513472).

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

77501088707328 is a wasteful number, since it uses less digits than its factorization.

77501088707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 36879360, while the sum is 63.

The spelling of 77501088707328 in words is "seventy-seven trillion, five hundred one billion, eighty-eight million, seven hundred seven thousand, three hundred twenty-eight".