77889122277120 has 2304 divisors, whose sum is σ = 356535177707520. Its totient is φ = 15626649600000.

The previous prime is 77889122277067. The next prime is 77889122277121. The reversal of 77889122277120 is 2177222198877.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77889122277121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49579325935 + ... + 49579327505.

It is an arithmetic number, because the mean of its divisors is an integer number (154746170880).

Almost surely, 2^{77889122277120} is an apocalyptic number.

77889122277120 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 77889122277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178267588853760).

77889122277120 is an abundant number, since it is smaller than the sum of its proper divisors (278646055430400).

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

77889122277120 is a wasteful number, since it uses less digits than its factorization.

77889122277120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 63.

The spelling of 77889122277120 in words is "seventy-seven trillion, eight hundred eighty-nine billion, one hundred twenty-two million, two hundred seventy-seven thousand, one hundred twenty".