77427613200 has 240 divisors, whose sum is σ = 286214030336. Its totient is φ = 17525721600.

The previous prime is 77427613187. The next prime is 77427613201. The reversal of 77427613200 is 231672477.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (77427613201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820455 + ... + 909945.

Almost surely, 2^77427613200 is an apocalyptic number.

77427613200 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 77427613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143107015168).

77427613200 is an abundant number, since it is smaller than the sum of its proper divisors (208786417136).

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

77427613200 is a wasteful number, since it uses less digits than its factorization.

77427613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89622 (or 89611 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 77427613200 in words is "seventy-seven billion, four hundred twenty-seven million, six hundred thirteen thousand, two hundred".