77340400 has 60 divisors (see below), whose sum is σ = 186818400. Its totient is φ = 30768640.

The previous prime is 77340353. The next prime is 77340407. The reversal of 77340400 is 404377.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77340407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95196 + ... + 96004.

It is an arithmetic number, because the mean of its divisors is an integer number (3113640).

Almost surely, 2^77340400 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 77340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93409200).

77340400 is an abundant number, since it is smaller than the sum of its proper divisors (109478000).

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

77340400 is a wasteful number, since it uses less digits than its factorization.

77340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 77340400 is about 8794.3390882999. The cubic root of 77340400 is about 426.0580787339.

Adding to 77340400 its reverse (404377), we get a palindrome (77744777).

The spelling of 77340400 in words is "seventy-seven million, three hundred forty thousand, four hundred".