77734867714770 has 128 divisors (see below), whose sum is σ = 217697538816000. Its totient is φ = 17757307194816.

The previous prime is 77734867714717. The next prime is 77734867714793. The reversal of 77734867714770 is 7741776843777.

It is a junction number, because it is equal to n+sod(n) for n = 77734867714692 and 77734867714701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14887561 + ... + 19419299.

It is an arithmetic number, because the mean of its divisors is an integer number (1700762022000).

Almost surely, 2^{77734867714770} is an apocalyptic number.

77734867714770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77734867714770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108848769408000).

77734867714770 is an abundant number, since it is smaller than the sum of its proper divisors (139962671101230).

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

77734867714770 is a wasteful number, since it uses less digits than its factorization.

77734867714770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533437 (or 4533423 counting only the distinct ones).

The product of its (nonzero) digits is 1897443072, while the sum is 75.

The spelling of 77734867714770 in words is "seventy-seven trillion, seven hundred thirty-four billion, eight hundred sixty-seven million, seven hundred fourteen thousand, seven hundred seventy".