77038225200 has 300 divisors, whose sum is σ = 277614840888. Its totient is φ = 20459520000.

The previous prime is 77038225181. The next prime is 77038225217. The reversal of 77038225200 is 252283077.

It is a happy number.

77038225200 is a `hidden beast` number, since 7 + 70 + 382 + 2 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8127664 + ... + 8137136.

Almost surely, 2^77038225200 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 77038225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138807420444).

77038225200 is an abundant number, since it is smaller than the sum of its proper divisors (200576615688).

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

77038225200 is a wasteful number, since it uses less digits than its factorization.

77038225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9734 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 77038225200 in words is "seventy-seven billion, thirty-eight million, two hundred twenty-five thousand, two hundred".