77120316000 has 2304 divisors, whose sum is σ = 376451712000. Its totient is φ = 15153868800.

The previous prime is 77120315983. The next prime is 77120316029. The reversal of 77120316000 is 61302177.

77120316000 is a `hidden beast` number, since 7 + 7 + 1 + 20 + 31 + 600 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1307123971 + ... + 1307124029.

It is an arithmetic number, because the mean of its divisors is an integer number (163390500).

Almost surely, 2^77120316000 is an apocalyptic number.

77120316000 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 77120316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856000).

77120316000 is an abundant number, since it is smaller than the sum of its proper divisors (299331396000).

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

77120316000 is a wasteful number, since it uses less digits than its factorization.

77120316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 77120316000 its reverse (61302177), we get a palindrome (77181618177).

The spelling of 77120316000 in words is "seventy-seven billion, one hundred twenty million, three hundred sixteen thousand".