77700000000000 has 1152 divisors, whose sum is σ = 303925780005120. Its totient is φ = 17280000000000.

The previous prime is 77699999999989. The next prime is 77700000000101. The reversal of 77700000000000 is 777.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2099999999982 + ... + 2100000000018.

It is an arithmetic number, because the mean of its divisors is an integer number (263824461810).

Almost surely, 2^{77700000000000} is an apocalyptic number.

77700000000000 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 77700000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151962890002560).

77700000000000 is an abundant number, since it is smaller than the sum of its proper divisors (226225780005120).

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

77700000000000 is an frugal number, since it uses more digits than its factorization.

77700000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 21.

Adding to 77700000000000 its reverse (777), we get a palindrome (77700000000777).

77700000000000 divided by its reverse (777) gives a 11-th power (100000000000 = 10¹¹).

The spelling of 77700000000000 in words is "seventy-seven trillion, seven hundred billion", and thus it is an aban number.