77270400 has 144 divisors (see below), whose sum is σ = 275821260. Its totient is φ = 20597760.

The previous prime is 77270377. The next prime is 77270411. The reversal of 77270400 is 407277.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27459 + ... + 30141.

Almost surely, 2^77270400 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 77270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137910630).

77270400 is an abundant number, since it is smaller than the sum of its proper divisors (198550860).

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

77270400 is a wasteful number, since it uses less digits than its factorization.

77270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2693 counting only the distinct ones).

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

The square root of 77270400 is about 8790.3583544700. The cubic root of 77270400 is about 425.9294996736.

Adding to 77270400 its reverse (407277), we get a palindrome (77677677).

The spelling of 77270400 in words is "seventy-seven million, two hundred seventy thousand, four hundred".