77270400000 has 396 divisors, whose sum is σ = 278981847144. Its totient is φ = 20597760000.

The previous prime is 77270399989. The next prime is 77270400013. The reversal of 77270400000 is 407277.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28798659 + ... + 28801341.

It is an arithmetic number, because the mean of its divisors is an integer number (704499614).

Almost surely, 2^77270400000 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 77270400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139490923572).

77270400000 is an abundant number, since it is smaller than the sum of its proper divisors (201711447144).

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

77270400000 is an equidigital number, since it uses as much as digits as its factorization.

77270400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

Adding to 77270400000 its reverse (407277), we get a palindrome (77270807277).

The spelling of 77270400000 in words is "seventy-seven billion, two hundred seventy million, four hundred thousand".