77745381120 has 864 divisors, whose sum is σ = 314558060544. Its totient is φ = 18214502400.

The previous prime is 77745381107. The next prime is 77745381127. The reversal of 77745381120 is 2118354777.

77745381120 is a `hidden beast` number, since 7 + 77 + 453 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77745381127) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 106064274 + ... + 106065006.

Almost surely, 2^77745381120 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 77745381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157279030272).

77745381120 is an abundant number, since it is smaller than the sum of its proper divisors (236812679424).

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

77745381120 is a wasteful number, since it uses less digits than its factorization.

77745381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 77745381120 in words is "seventy-seven billion, seven hundred forty-five million, three hundred eighty-one thousand, one hundred twenty".