77112288000 has 864 divisors, whose sum is σ = 306962720064. Its totient is φ = 18432000000.

The previous prime is 77112287983. The next prime is 77112288007. The reversal of 77112288000 is 88221177.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77112288007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319967880 + ... + 319968120.

It is an arithmetic number, because the mean of its divisors is an integer number (355280926).

Almost surely, 2^77112288000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77112288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153481360032).

77112288000 is an abundant number, since it is smaller than the sum of its proper divisors (229850432064).

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

77112288000 is a wasteful number, since it uses less digits than its factorization.

77112288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 77112288000 in words is "seventy-seven billion, one hundred twelve million, two hundred eighty-eight thousand".